51879790406400 has 864 divisors, whose sum is σ = 189772487283456. Its totient is φ = 12480106496000.

The previous prime is 51879790406383. The next prime is 51879790406443. The reversal of 51879790406400 is 460409797815.

51879790406400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51879790406400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3347723452 + ... + 3347738948.

It is an arithmetic number, because the mean of its divisors is an integer number (219644082504).

Almost surely, 2^{51879790406400} is an apocalyptic number.

51879790406400 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 51879790406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94886243641728).

51879790406400 is an abundant number, since it is smaller than the sum of its proper divisors (137892696877056).

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

51879790406400 is a wasteful number, since it uses less digits than its factorization.

51879790406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15690 (or 15649 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 60.

The spelling of 51879790406400 in words is "fifty-one trillion, eight hundred seventy-nine billion, seven hundred ninety million, four hundred six thousand, four hundred".