16124780160 has 896 divisors, whose sum is σ = 65018635200. Its totient is φ = 3798171648.

The previous prime is 16124780101. The next prime is 16124780197. The reversal of 16124780160 is 6108742161.

It is a happy number.

16124780160 is a `hidden beast` number, since 16 + 12 + 478 + 0 + 160 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 150698827 + ... + 150698933.

Almost surely, 2^16124780160 is an apocalyptic number.

16124780160 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 16124780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32509317600).

16124780160 is an abundant number, since it is smaller than the sum of its proper divisors (48893855040).

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

16124780160 is a wasteful number, since it uses less digits than its factorization.

16124780160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 16124780160 in words is "sixteen billion, one hundred twenty-four million, seven hundred eighty thousand, one hundred sixty".