157003942680 has 576 divisors, whose sum is σ = 604409027040. Its totient is φ = 36360327168.

The previous prime is 157003942679. The next prime is 157003942687. The reversal of 157003942680 is 86249300751.

157003942680 is a `hidden beast` number, since 1 + 570 + 0 + 39 + 42 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157003942687) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57997887 + ... + 58000593.

It is a 1-persistent number, because it is pandigital, but 2⋅157003942680 = 314007885360 is not.

Almost surely, 2^157003942680 is an apocalyptic number.

157003942680 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 157003942680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302204513520).

157003942680 is an abundant number, since it is smaller than the sum of its proper divisors (447405084360).

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

157003942680 is a wasteful number, since it uses less digits than its factorization.

157003942680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2772 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 157003942680 in words is "one hundred fifty-seven billion, three million, nine hundred forty-two thousand, six hundred eighty".