251244080100 has 288 divisors, whose sum is σ = 870484702080. Its totient is φ = 61798464000.

The previous prime is 251244080057. The next prime is 251244080119. The reversal of 251244080100 is 1080442152.

251244080100 is a `hidden beast` number, since 2 + 512 + 4 + 40 + 8 + 0 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91995735 + ... + 91998465.

Almost surely, 2^251244080100 is an apocalyptic number.

251244080100 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 251244080100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435242351040).

251244080100 is an abundant number, since it is smaller than the sum of its proper divisors (619240621980).

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

251244080100 is a wasteful number, since it uses less digits than its factorization.

251244080100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5388 (or 5375 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 251244080100 in words is "two hundred fifty-one billion, two hundred forty-four million, eighty thousand, one hundred".