2551531797360 has 800 divisors, whose sum is σ = 10959115571712. Its totient is φ = 535767644160.

The previous prime is 2551531797341. The next prime is 2551531797433. The reversal of 2551531797360 is 637971351552.

2551531797360 is a `hidden beast` number, since 2 + 5 + 5 + 1 + 531 + 79 + 7 + 36 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 2551531797297 and 2551531797306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 124412227 + ... + 124432733.

Almost surely, 2^{2551531797360} is an apocalyptic number.

2551531797360 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 2551531797360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5479557785856).

2551531797360 is an abundant number, since it is smaller than the sum of its proper divisors (8407583774352).

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

2551531797360 is a wasteful number, since it uses less digits than its factorization.

2551531797360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20763 (or 20748 counting only the distinct ones).

The product of its (nonzero) digits is 5953500, while the sum is 54.

The spelling of 2551531797360 in words is "two trillion, five hundred fifty-one billion, five hundred thirty-one million, seven hundred ninety-seven thousand, three hundred sixty".