251985427200000 has 2880 divisors, whose sum is σ = 1024215516324000. Its totient is φ = 61352017920000.

The previous prime is 251985427199993. The next prime is 251985427200011. The reversal of 251985427200000 is 2724589152.

251985427200000 is a `hidden beast` number, since 2 + 5 + 19 + 8 + 5 + 427 + 200 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-3 number, since 3×251985427200000³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 936748799866 + ... + 936748800134.

Almost surely, 2^{251985427200000} is an apocalyptic number.

251985427200000 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 251985427200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512107758162000).

251985427200000 is an abundant number, since it is smaller than the sum of its proper divisors (772230089124000).

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

251985427200000 is an equidigital number, since it uses as much as digits as its factorization.

251985427200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 251985427200000 in words is "two hundred fifty-one trillion, nine hundred eighty-five billion, four hundred twenty-seven million, two hundred thousand".