16251072000 has 320 divisors, whose sum is σ = 55084670784. Its totient is φ = 4249190400.

The previous prime is 16251071989. The next prime is 16251072017. The reversal of 16251072000 is 27015261.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×16251072000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10175202 + ... + 10176798.

Almost surely, 2^16251072000 is an apocalyptic number.

16251072000 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 16251072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27542335392).

16251072000 is an abundant number, since it is smaller than the sum of its proper divisors (38833598784).

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

16251072000 is an equidigital number, since it uses as much as digits as its factorization.

16251072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

Adding to 16251072000 its reverse (27015261), we get a palindrome (16278087261).

The spelling of 16251072000 in words is "sixteen billion, two hundred fifty-one million, seventy-two thousand".