157065604416 has 392 divisors, whose sum is σ = 535619456064. Its totient is φ = 44744970240.

The previous prime is 157065604387. The next prime is 157065604427. The reversal of 157065604416 is 614406560751.

157065604416 is a `hidden beast` number, since 1 + 5 + 70 + 6 + 560 + 4 + 4 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 193668651 + ... + 193669461.

Almost surely, 2^157065604416 is an apocalyptic number.

157065604416 is a gapful number since it is divisible by the number (16) 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 157065604416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267809728032).

157065604416 is an abundant number, since it is smaller than the sum of its proper divisors (378553851648).

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

157065604416 is an frugal number, since it uses more digits than its factorization.

157065604416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 157065604416 in words is "one hundred fifty-seven billion, sixty-five million, six hundred four thousand, four hundred sixteen".