51648749165520 has 320 divisors, whose sum is σ = 191595127127040. Its totient is φ = 12712929841152.

The previous prime is 51648749165513. The next prime is 51648749165527. The reversal of 51648749165520 is 2556194784615.

It is a happy number.

51648749165520 is a `hidden beast` number, since 5 + 1 + 6 + 4 + 8 + 7 + 49 + 1 + 65 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (51648749165513) and next prime (51648749165527).

It is a super-3 number, since 3×51648749165520³ (a number of 42 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51648749165527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 958259212 + ... + 958313108.

It is an arithmetic number, because the mean of its divisors is an integer number (598734772272).

Almost surely, 2^{51648749165520} 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 51648749165520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95797563563520).

51648749165520 is an abundant number, since it is smaller than the sum of its proper divisors (139946377961520).

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

51648749165520 is a wasteful number, since it uses less digits than its factorization.

51648749165520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88059 (or 88047 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 51648749165520 in words is "fifty-one trillion, six hundred forty-eight billion, seven hundred forty-nine million, one hundred sixty-five thousand, five hundred twenty".