157815434880 has 768 divisors, whose sum is σ = 597731097600. Its totient is φ = 38220595200.

The previous prime is 157815434801. The next prime is 157815434893. The reversal of 157815434880 is 88434518751.

157815434880 is a `hidden beast` number, since 1 + 5 + 7 + 8 + 154 + 3 + 488 + 0 = 666.

It is a super-2 number, since 2×157815434880² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 614067712 + ... + 614067968.

It is an arithmetic number, because the mean of its divisors is an integer number (778295700).

Almost surely, 2^157815434880 is an apocalyptic number.

157815434880 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 157815434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298865548800).

157815434880 is an abundant number, since it is smaller than the sum of its proper divisors (439915662720).

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

157815434880 is a wasteful number, since it uses less digits than its factorization.

157815434880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 157815434880 in words is "one hundred fifty-seven billion, eight hundred fifteen million, four hundred thirty-four thousand, eight hundred eighty".