157559869440 has 416 divisors, whose sum is σ = 567058343040. Its totient is φ = 41497657344.

The previous prime is 157559869381. The next prime is 157559869457. The reversal of 157559869440 is 44968955751.

157559869440 is a `hidden beast` number, since 1 + 57 + 55 + 98 + 6 + 9 + 440 = 666.

It is a super-2 number, since 2×157559869440² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45893964 + ... + 45897396.

Almost surely, 2^157559869440 is an apocalyptic number.

157559869440 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 157559869440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283529171520).

157559869440 is an abundant number, since it is smaller than the sum of its proper divisors (409498473600).

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

157559869440 is an equidigital number, since it uses as much as digits as its factorization.

157559869440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3554 (or 3526 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 157559869440 in words is "one hundred fifty-seven billion, five hundred fifty-nine million, eight hundred sixty-nine thousand, four hundred forty".