53679267365472 has 960 divisors, whose sum is σ = 186217128244224. Its totient is φ = 14853717688320.

The previous prime is 53679267365453. The next prime is 53679267365557. The reversal of 53679267365472 is 27456376297635.

53679267365472 is a `hidden beast` number, since 5 + 3 + 6 + 7 + 9 + 2 + 6 + 73 + 6 + 547 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 53679267365472.

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 26613418608 + ... + 26613420624.

Almost surely, 2^{53679267365472} 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 53679267365472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93108564122112).

53679267365472 is an abundant number, since it is smaller than the sum of its proper divisors (132537860878752).

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

53679267365472 is a wasteful number, since it uses less digits than its factorization.

53679267365472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2473 (or 2456 counting only the distinct ones).

The product of its digits is 2400451200, while the sum is 72.

The spelling of 53679267365472 in words is "fifty-three trillion, six hundred seventy-nine billion, two hundred sixty-seven million, three hundred sixty-five thousand, four hundred seventy-two".