251202949920 has 768 divisors, whose sum is σ = 971956661760. Its totient is φ = 60217344000.

The previous prime is 251202949919. The next prime is 251202949931. The reversal of 251202949920 is 29949202152.

It is a happy number.

251202949920 is a `hidden beast` number, since 2 + 512 + 0 + 2 + 9 + 49 + 92 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 380034390 + ... + 380035050.

It is an arithmetic number, because the mean of its divisors is an integer number (1265568570).

Almost surely, 2^251202949920 is an apocalyptic number.

251202949920 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 251202949920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485978330880).

251202949920 is an abundant number, since it is smaller than the sum of its proper divisors (720753711840).

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

251202949920 is a wasteful number, since it uses less digits than its factorization.

251202949920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 251202949920 in words is "two hundred fifty-one billion, two hundred two million, nine hundred forty-nine thousand, nine hundred twenty".