51034660992 has 192 divisors, whose sum is σ = 175135109760. Its totient is φ = 13947310080.

The previous prime is 51034660987. The next prime is 51034661023. The reversal of 51034660992 is 29906643015.

51034660992 is a `hidden beast` number, since 5 + 1 + 0 + 34 + 6 + 609 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-4 number, since 4×51034660992⁴ (a number of 44 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47892 + ... + 323052.

It is an arithmetic number, because the mean of its divisors is an integer number (912162030).

Almost surely, 2^51034660992 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 51034660992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87567554880).

51034660992 is an abundant number, since it is smaller than the sum of its proper divisors (124100448768).

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

51034660992 is a wasteful number, since it uses less digits than its factorization.

51034660992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275211 (or 275196 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

It can be divided in two parts, 5103 and 4660992, that multiplied together give a square (23785042176 = 154224²).

The spelling of 51034660992 in words is "fifty-one billion, thirty-four million, six hundred sixty thousand, nine hundred ninety-two".