2551530878496 has 288 divisors, whose sum is σ = 7884525737088. Its totient is φ = 810142248960.

The previous prime is 2551530878489. The next prime is 2551530878521. The reversal of 2551530878496 is 6948780351552.

2551530878496 is a `hidden beast` number, since 2 + 5 + 5 + 1 + 530 + 8 + 7 + 8 + 4 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43072770 + ... + 43131966.

It is an arithmetic number, because the mean of its divisors is an integer number (27376825476).

It is a 1-persistent number, because it is pandigital, but 2⋅2551530878496 = 5103061756992 is not.

Almost surely, 2^{2551530878496} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2551530878496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3942262868544).

2551530878496 is an abundant number, since it is smaller than the sum of its proper divisors (5332994858592).

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

2551530878496 is a wasteful number, since it uses less digits than its factorization.

2551530878496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59486 (or 59466 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 2551530878496 in words is "two trillion, five hundred fifty-one billion, five hundred thirty million, eight hundred seventy-eight thousand, four hundred ninety-six".