51984092160 has 2112 divisors, whose sum is σ = 257509324800. Its totient is φ = 9537454080.

The previous prime is 51984092077. The next prime is 51984092179. The reversal of 51984092160 is 6129048915.

51984092160 is a `hidden beast` number, since 519 + 8 + 40 + 92 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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 191 ways as a sum of consecutive naturals, for example, 2260177909 + ... + 2260177931.

Almost surely, 2^51984092160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51984092160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128754662400).

51984092160 is an abundant number, since it is smaller than the sum of its proper divisors (205525232640).

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

51984092160 is a wasteful number, since it uses less digits than its factorization.

51984092160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

It can be divided in two parts, 519840 and 92160, that multiplied together give a square (47908454400 = 218880²).

The spelling of 51984092160 in words is "fifty-one billion, nine hundred eighty-four million, ninety-two thousand, one hundred sixty".