157561238016 has 640 divisors, whose sum is σ = 577463040000. Its totient is φ = 41306112000.

The previous prime is 157561237997. The next prime is 157561238039. The reversal of 157561238016 is 610832165751.

157561238016 is a `hidden beast` number, since 1 + 5 + 7 + 561 + 2 + 3 + 80 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 315753735 + ... + 315754233.

It is an arithmetic number, because the mean of its divisors is an integer number (902286000).

Almost surely, 2^157561238016 is an apocalyptic number.

157561238016 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 157561238016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288731520000).

157561238016 is an abundant number, since it is smaller than the sum of its proper divisors (419901801984).

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

157561238016 is a wasteful number, since it uses less digits than its factorization.

157561238016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 157561238016 in words is "one hundred fifty-seven billion, five hundred sixty-one million, two hundred thirty-eight thousand, sixteen".