51870357504 has 480 divisors, whose sum is σ = 186464678400. Its totient is φ = 14034124800.

The previous prime is 51870357503. The next prime is 51870357527. The reversal of 51870357504 is 40575307815.

It is a happy number.

51870357504 is a `hidden beast` number, since 5 + 1 + 8 + 70 + 3 + 575 + 0 + 4 = 666.

It is a super-2 number, since 2×51870357504² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51870357504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51870357503) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22061929 + ... + 22064279.

It is an arithmetic number, because the mean of its divisors is an integer number (388468080).

Almost surely, 2^51870357504 is an apocalyptic number.

51870357504 is a gapful number since it is divisible by the number (54) 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 51870357504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93232339200).

51870357504 is an abundant number, since it is smaller than the sum of its proper divisors (134594320896).

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

51870357504 is a wasteful number, since it uses less digits than its factorization.

51870357504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 51870357504 in words is "fifty-one billion, eight hundred seventy million, three hundred fifty-seven thousand, five hundred four".