16157012760 has 512 divisors, whose sum is σ = 64497254400. Its totient is φ = 3519936000.

The previous prime is 16157012743. The next prime is 16157012761. The reversal of 16157012760 is 6721075161.

16157012760 is a `hidden beast` number, since 1 + 6 + 1 + 570 + 1 + 27 + 60 = 666.

It is a super-2 number, since 2×16157012760² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16157012761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16639075 + ... + 16640045.

It is an arithmetic number, because the mean of its divisors is an integer number (125971200).

Almost surely, 2^16157012760 is an apocalyptic number.

16157012760 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 16157012760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32248627200).

16157012760 is an abundant number, since it is smaller than the sum of its proper divisors (48340241640).

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

16157012760 is a wasteful number, since it uses less digits than its factorization.

16157012760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 16157012760 in words is "sixteen billion, one hundred fifty-seven million, twelve thousand, seven hundred sixty".