51836479276032 has 880 divisors, whose sum is σ = 179084216158848. Its totient is φ = 14760475361280.

The previous prime is 51836479275941. The next prime is 51836479276033. The reversal of 51836479276032 is 23067297463815.

It is a happy number.

51836479276032 is a `hidden beast` number, since 5 + 1 + 83 + 6 + 479 + 27 + 60 + 3 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (51836479276033) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11276151558 + ... + 11276156154.

It is a 3-persistent number, because k⋅51836479276032 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2^{51836479276032} 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 51836479276032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89542108079424).

51836479276032 is an abundant number, since it is smaller than the sum of its proper divisors (127247736882816).

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

51836479276032 is a wasteful number, since it uses less digits than its factorization.

51836479276032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5384 (or 5357 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 51836479276032 in words is "fifty-one trillion, eight hundred thirty-six billion, four hundred seventy-nine million, two hundred seventy-six thousand, thirty-two".