157255188480 has 600 divisors, whose sum is σ = 607471869312. Its totient is φ = 38687735808.

The previous prime is 157255188479. The next prime is 157255188487. The reversal of 157255188480 is 84881552751.

It is a happy number.

157255188480 is a `hidden beast` number, since 1 + 5 + 7 + 2 + 551 + 8 + 8 + 4 + 80 = 666.

It is a super-3 number, since 3×157255188480³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157255188487) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 86260849 + ... + 86262671.

Almost surely, 2^157255188480 is an apocalyptic number.

157255188480 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 157255188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303735934656).

157255188480 is an abundant number, since it is smaller than the sum of its proper divisors (450216680832).

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

157255188480 is an equidigital number, since it uses as much as digits as its factorization.

157255188480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 3584000, while the sum is 54.

The spelling of 157255188480 in words is "one hundred fifty-seven billion, two hundred fifty-five million, one hundred eighty-eight thousand, four hundred eighty".