157668698880 has 1152 divisors, whose sum is σ = 703580774400. Its totient is φ = 32480870400.

The previous prime is 157668698867. The next prime is 157668698893. The reversal of 157668698880 is 88896866751.

It is an interprime number because it is at equal distance from previous prime (157668698867) and next prime (157668698893).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×157668698880² (a number of 23 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 = 157668698799 and 157668698808.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 476340315 + ... + 476340645.

It is an arithmetic number, because the mean of its divisors is an integer number (610747200).

Almost surely, 2^157668698880 is an apocalyptic number.

157668698880 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 157668698880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351790387200).

157668698880 is an abundant number, since it is smaller than the sum of its proper divisors (545912075520).

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

157668698880 is a wasteful number, since it uses less digits than its factorization.

157668698880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 157668698880 in words is "one hundred fifty-seven billion, six hundred sixty-eight million, six hundred ninety-eight thousand, eight hundred eighty".