251307649980 has 288 divisors, whose sum is σ = 881095138560. Its totient is φ = 59753272320.

The previous prime is 251307649951. The next prime is 251307649987. The reversal of 251307649980 is 89946703152.

251307649980 is a `hidden beast` number, since 2 + 5 + 1 + 3 + 0 + 76 + 499 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251307649987) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1489735 + ... + 1649825.

It is an arithmetic number, because the mean of its divisors is an integer number (3059358120).

It is a 1-persistent number, because it is pandigital, but 2⋅251307649980 = 502615299960 is not.

Almost surely, 2^251307649980 is an apocalyptic number.

251307649980 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 251307649980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440547569280).

251307649980 is an abundant number, since it is smaller than the sum of its proper divisors (629787488580).

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

251307649980 is a wasteful number, since it uses less digits than its factorization.

251307649980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160151 (or 160137 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 251307649980 in words is "two hundred fifty-one billion, three hundred seven million, six hundred forty-nine thousand, nine hundred eighty".