250872201216000 has 5376 divisors, whose sum is σ = 1231151788339200. Its totient is φ = 48922361856000.

The previous prime is 250872201215917. The next prime is 250872201216067. The reversal of 250872201216000 is 612102278052.

It is a happy number.

250872201216000 is a `hidden beast` number, since 2 + 5 + 0 + 8 + 7 + 2 + 20 + 1 + 21 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a super-2 number, since 2×250872201216000² (a number of 30 digits) contains 22 as substring.

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 255 ways as a sum of consecutive naturals, for example, 6118834175980 + ... + 6118834176020.

It is an arithmetic number, because the mean of its divisors is an integer number (229008889200).

Almost surely, 2^{250872201216000} is an apocalyptic number.

250872201216000 is a gapful number since it is divisible by the number (20) 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 250872201216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615575894169600).

250872201216000 is an abundant number, since it is smaller than the sum of its proper divisors (980279587123200).

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

250872201216000 is an frugal number, since it uses more digits than its factorization.

250872201216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 250872201216000 in words is "two hundred fifty trillion, eight hundred seventy-two billion, two hundred one million, two hundred sixteen thousand".