51192652400640 has 576 divisors, whose sum is σ = 185970580024320. Its totient is φ = 12999160627200.

The previous prime is 51192652400623. The next prime is 51192652400641. The reversal of 51192652400640 is 4600425629115.

51192652400640 is a `hidden beast` number, since 5 + 1 + 192 + 6 + 52 + 400 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (51192652400641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 472634490 + ... + 472742790.

It is an arithmetic number, because the mean of its divisors is an integer number (322865590320).

Almost surely, 2^{51192652400640} 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 51192652400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92985290012160).

51192652400640 is an abundant number, since it is smaller than the sum of its proper divisors (134777927623680).

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

51192652400640 is a wasteful number, since it uses less digits than its factorization.

51192652400640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108580 (or 108557 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 51192652400640 in words is "fifty-one trillion, one hundred ninety-two billion, six hundred fifty-two million, four hundred thousand, six hundred forty".