251525940000 has 480 divisors, whose sum is σ = 856525824000. Its totient is φ = 64540800000.

The previous prime is 251525939981. The next prime is 251525940013. The reversal of 251525940000 is 49525152.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 504059751 + ... + 504060249.

It is an arithmetic number, because the mean of its divisors is an integer number (1784428800).

Almost surely, 2^251525940000 is an apocalyptic number.

251525940000 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 251525940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428262912000).

251525940000 is an abundant number, since it is smaller than the sum of its proper divisors (604999884000).

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

251525940000 is a wasteful number, since it uses less digits than its factorization.

251525940000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The spelling of 251525940000 in words is "two hundred fifty-one billion, five hundred twenty-five million, nine hundred forty thousand".