16010913600 has 630 divisors, whose sum is σ = 64752020102. Its totient is φ = 3877632000.

The previous prime is 16010913587. The next prime is 16010913619. The reversal of 16010913600 is 631901061.

It can be written as a sum of positive squares in 3 ways, for example, as 1327290624 + 14683622976 = 36432^2 + 121176^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 15681090 + ... + 15682110.

Almost surely, 2^16010913600 is an apocalyptic number.

16010913600 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 16010913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32376010051).

16010913600 is an abundant number, since it is smaller than the sum of its proper divisors (48741106502).

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

16010913600 is a wasteful number, since it uses less digits than its factorization.

16010913600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 16010913600 in words is "sixteen billion, ten million, nine hundred thirteen thousand, six hundred".