16157319360 has 672 divisors, whose sum is σ = 65220567552. Its totient is φ = 3316285440.

The previous prime is 16157319341. The next prime is 16157319361. The reversal of 16157319360 is 6391375161.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×16157319360² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (16157319361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46562707 + ... + 46563053.

It is an arithmetic number, because the mean of its divisors is an integer number (97054416).

Almost surely, 2^16157319360 is an apocalyptic number.

16157319360 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 16157319360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32610283776).

16157319360 is an abundant number, since it is smaller than the sum of its proper divisors (49063248192).

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

16157319360 is a wasteful number, since it uses less digits than its factorization.

16157319360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The spelling of 16157319360 in words is "sixteen billion, one hundred fifty-seven million, three hundred nineteen thousand, three hundred sixty".