51523022960640 has 2304 divisors, whose sum is σ = 242449054848000. Its totient is φ = 9792116490240.

The previous prime is 51523022960603. The next prime is 51523022960671. The reversal of 51523022960640 is 4606922032515.

51523022960640 is a `hidden beast` number, since 5 + 1 + 5 + 2 + 30 + 2 + 2 + 9 + 606 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-5 number, since 5×51523022960640⁵ (a number of 70 digits) contains 55555 as substring.

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, 3910065732 + ... + 3910078908.

It is an arithmetic number, because the mean of its divisors is an integer number (105229624500).

Almost surely, 2^{51523022960640} 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 51523022960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121224527424000).

51523022960640 is an abundant number, since it is smaller than the sum of its proper divisors (190926031887360).

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

51523022960640 is a wasteful number, since it uses less digits than its factorization.

51523022960640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13276 (or 13253 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 51523022960640 in words is "fifty-one trillion, five hundred twenty-three billion, twenty-two million, nine hundred sixty thousand, six hundred forty".