51840806400 has 720 divisors, whose sum is σ = 199116032544. Its totient is φ = 12834570240.

The previous prime is 51840806389. The next prime is 51840806467. The reversal of 51840806400 is 460804815.

51840806400 is a `hidden beast` number, since 5 + 1 + 8 + 4 + 0 + 8 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 201715072 + ... + 201715328.

Almost surely, 2^51840806400 is an apocalyptic number.

51840806400 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 51840806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99558016272).

51840806400 is an abundant number, since it is smaller than the sum of its proper divisors (147275226144).

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

51840806400 is a wasteful number, since it uses less digits than its factorization.

51840806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 51840806400 in words is "fifty-one billion, eight hundred forty million, eight hundred six thousand, four hundred".