157667216760 has 192 divisors, whose sum is σ = 518770980000. Its totient is φ = 41526574080.

The previous prime is 157667216723. The next prime is 157667216761. The reversal of 157667216760 is 67612766751.

157667216760 is a `hidden beast` number, since 1 + 576 + 6 + 7 + 2 + 1 + 6 + 7 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 157667216697 and 157667216706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157667216761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9593350 + ... + 9609770.

Almost surely, 2^157667216760 is an apocalyptic number.

157667216760 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 157667216760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259385490000).

157667216760 is an abundant number, since it is smaller than the sum of its proper divisors (361103763240).

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

157667216760 is a wasteful number, since it uses less digits than its factorization.

157667216760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16766 (or 16759 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 157667216760 in words is "one hundred fifty-seven billion, six hundred sixty-seven million, two hundred sixteen thousand, seven hundred sixty".