51973538400 has 432 divisors, whose sum is σ = 213416277984. Its totient is φ = 11654922240.

The previous prime is 51973538369. The next prime is 51973538443. The reversal of 51973538400 is 483537915.

51973538400 is a `hidden beast` number, since 5 + 1 + 9 + 73 + 538 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2661472 + ... + 2680928.

It is an arithmetic number, because the mean of its divisors is an integer number (494019162).

Almost surely, 2^51973538400 is an apocalyptic number.

51973538400 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 51973538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106708138992).

51973538400 is an abundant number, since it is smaller than the sum of its proper divisors (161442739584).

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

51973538400 is a wasteful number, since it uses less digits than its factorization.

51973538400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19543 (or 19527 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 51973538400 in words is "fifty-one billion, nine hundred seventy-three million, five hundred thirty-eight thousand, four hundred".