51694012800 has 288 divisors, whose sum is σ = 190409568960. Its totient is φ = 13340160000.

The previous prime is 51694012789. The next prime is 51694012801. The reversal of 51694012800 is 821049615.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51694012801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 863850 + ... + 921750.

Almost surely, 2^51694012800 is an apocalyptic number.

51694012800 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 51694012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95204784480).

51694012800 is an abundant number, since it is smaller than the sum of its proper divisors (138715556160).

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

51694012800 is a wasteful number, since it uses less digits than its factorization.

51694012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57962 (or 57942 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 51694012800 in words is "fifty-one billion, six hundred ninety-four million, twelve thousand, eight hundred".