51949576014336 has 5760 divisors, whose sum is σ = 232386438316032. Its totient is φ = 10924720128000.

The previous prime is 51949576014277. The next prime is 51949576014337. The reversal of 51949576014336 is 63341067594915.

51949576014336 is a `hidden beast` number, since 5 + 1 + 9 + 49 + 576 + 0 + 14 + 3 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (51949576014337) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 731684169181 + ... + 731684169251.

Almost surely, 2^{51949576014336} is an apocalyptic number.

51949576014336 is a gapful number since it is divisible by the number (56) 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 51949576014336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116193219158016).

51949576014336 is an abundant number, since it is smaller than the sum of its proper divisors (180436862301696).

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

51949576014336 is a wasteful number, since it uses less digits than its factorization.

51949576014336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 51949576014336 in words is "fifty-one trillion, nine hundred forty-nine billion, five hundred seventy-six million, fourteen thousand, three hundred thirty-six".