51983523900 has 540 divisors, whose sum is σ = 211709980944. Its totient is φ = 10800345600.

The previous prime is 51983523869. The next prime is 51983523901. The reversal of 51983523900 is 932538915.

51983523900 is a `hidden beast` number, since 519 + 83 + 52 + 3 + 9 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51983523901) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 6856912 + ... + 6864488.

Almost surely, 2^51983523900 is an apocalyptic number.

51983523900 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 51983523900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105854990472).

51983523900 is an abundant number, since it is smaller than the sum of its proper divisors (159726457044).

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

51983523900 is a wasteful number, since it uses less digits than its factorization.

51983523900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7632 (or 7605 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 51983523900 in words is "fifty-one billion, nine hundred eighty-three million, five hundred twenty-three thousand, nine hundred".