16251199994880 has 528 divisors, whose sum is σ = 61317683575200. Its totient is φ = 3963988869120.

The previous prime is 16251199994849. The next prime is 16251199994933. The reversal of 16251199994880 is 8849999115261.

It is a happy number.

16251199994880 is a `hidden beast` number, since 1 + 6 + 2 + 51 + 1 + 9 + 9 + 99 + 488 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 16251199994799 and 16251199994808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25070050 + ... + 25710110.

Almost surely, 2^{16251199994880} is an apocalyptic number.

16251199994880 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 16251199994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30658841787600).

16251199994880 is an abundant number, since it is smaller than the sum of its proper divisors (45066483580320).

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

16251199994880 is a wasteful number, since it uses less digits than its factorization.

16251199994880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640140 (or 640119 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 72.

The spelling of 16251199994880 in words is "sixteen trillion, two hundred fifty-one billion, one hundred ninety-nine million, nine hundred ninety-four thousand, eight hundred eighty".