157428777761280 has 320 divisors, whose sum is σ = 559393479025920. Its totient is φ = 41966492663808.

The previous prime is 157428777761273. The next prime is 157428777761287. The reversal of 157428777761280 is 82167777824751.

157428777761280 is a `hidden beast` number, since 1 + 5 + 7 + 4 + 287 + 7 + 7 + 7 + 61 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (157428777761273) and next prime (157428777761287).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 157428777761199 and 157428777761208.

It is not an unprimeable number, because it can be changed into a prime (157428777761287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200263074 + ... + 201047646.

It is an arithmetic number, because the mean of its divisors is an integer number (1748104621956).

Almost surely, 2^{157428777761280} is an apocalyptic number.

157428777761280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157428777761280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279696739512960).

157428777761280 is an abundant number, since it is smaller than the sum of its proper divisors (401964701264640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

157428777761280 is an equidigital number, since it uses as much as digits as its factorization.

157428777761280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787508 (or 787486 counting only the distinct ones).

The product of its (nonzero) digits is 516311040, while the sum is 72.

The spelling of 157428777761280 in words is "one hundred fifty-seven trillion, four hundred twenty-eight billion, seven hundred seventy-seven million, seven hundred sixty-one thousand, two hundred eighty".