52951908240 has 960 divisors, whose sum is σ = 233851318272. Its totient is φ = 10411315200.

The previous prime is 52951908181. The next prime is 52951908253. The reversal of 52951908240 is 4280915925.

It is a happy number.

52951908240 is a `hidden beast` number, since 52 + 9 + 519 + 0 + 82 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 167040562 + ... + 167040878.

Almost surely, 2^52951908240 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 52951908240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116925659136).

52951908240 is an abundant number, since it is smaller than the sum of its proper divisors (180899410032).

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

52951908240 is a wasteful number, since it uses less digits than its factorization.

52951908240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

It can be divided in two parts, 52951 and 908240, that added together give a triangular number (961191 = T₁₃₈₆).

The spelling of 52951908240 in words is "fifty-two billion, nine hundred fifty-one million, nine hundred eight thousand, two hundred forty".