53212883904 has 560 divisors, whose sum is σ = 171752410368. Its totient is φ = 16247734272.

The previous prime is 53212883837. The next prime is 53212883921. The reversal of 53212883904 is 40938821235.

53212883904 is a `hidden beast` number, since 532 + 1 + 2 + 88 + 39 + 0 + 4 = 666.

It is a super-2 number, since 2×53212883904² (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 53212883904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 497316619 + ... + 497316725.

Almost surely, 2^53212883904 is an apocalyptic number.

53212883904 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 53212883904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85876205184).

53212883904 is an abundant number, since it is smaller than the sum of its proper divisors (118539526464).

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

53212883904 is a wasteful number, since it uses less digits than its factorization.

53212883904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 53212883904 in words is "fifty-three billion, two hundred twelve million, eight hundred eighty-three thousand, nine hundred four".