5256978854400 has 1440 divisors, whose sum is σ = 24374398688640. Its totient is φ = 1050747863040.

The previous prime is 5256978854399. The next prime is 5256978854411. The reversal of 5256978854400 is 44588796525.

5256978854400 is a `hidden beast` number, since 5 + 2 + 5 + 6 + 9 + 7 + 88 + 544 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 199167604 + ... + 199193996.

It is an arithmetic number, because the mean of its divisors is an integer number (16926665756).

Almost surely, 2^{5256978854400} is an apocalyptic number.

5256978854400 is a gapful number since it is divisible by the number (50) 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 5256978854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12187199344320).

5256978854400 is an abundant number, since it is smaller than the sum of its proper divisors (19117419834240).

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

5256978854400 is a wasteful number, since it uses less digits than its factorization.

5256978854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26466 (or 26442 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 5256978854400 in words is "five trillion, two hundred fifty-six billion, nine hundred seventy-eight million, eight hundred fifty-four thousand, four hundred".