157716772980480 has 1440 divisors, whose sum is σ = 688724765245440. Its totient is φ = 33683531857920.

The previous prime is 157716772980413. The next prime is 157716772980491. The reversal of 157716772980480 is 84089277617751.

157716772980480 is a `hidden beast` number, since 1 + 5 + 7 + 7 + 1 + 67 + 7 + 2 + 9 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×157716772980480² (a number of 29 digits) contains 22 as substring.

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 = 157716772980399 and 157716772980408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 652337377 + ... + 652579103.

It is an arithmetic number, because the mean of its divisors is an integer number (478281086976).

Almost surely, 2^{157716772980480} is an apocalyptic number.

157716772980480 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 157716772980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344362382622720).

157716772980480 is an abundant number, since it is smaller than the sum of its proper divisors (531007992264960).

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

157716772980480 is a wasteful number, since it uses less digits than its factorization.

157716772980480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241827 (or 241804 counting only the distinct ones).

The product of its (nonzero) digits is 331914240, while the sum is 72.

The spelling of 157716772980480 in words is "one hundred fifty-seven trillion, seven hundred sixteen billion, seven hundred seventy-two million, nine hundred eighty thousand, four hundred eighty".