157871978880 has 2048 divisors, whose sum is σ = 714424320000. Its totient is φ = 29262643200.

The previous prime is 157871978837. The next prime is 157871978893. The reversal of 157871978880 is 88879178751.

157871978880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4266810222 + ... + 4266810258.

It is an arithmetic number, because the mean of its divisors is an integer number (348840000).

Almost surely, 2^157871978880 is an apocalyptic number.

157871978880 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 157871978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357212160000).

157871978880 is an abundant number, since it is smaller than the sum of its proper divisors (556552341120).

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

157871978880 is a wasteful number, since it uses less digits than its factorization.

157871978880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 69.

The spelling of 157871978880 in words is "one hundred fifty-seven billion, eight hundred seventy-one million, nine hundred seventy-eight thousand, eight hundred eighty".