53640406080 has 252 divisors, whose sum is σ = 190654105356. Its totient is φ = 13841971200.

The previous prime is 53640406003. The next prime is 53640406091. The reversal of 53640406080 is 8060404635.

53640406080 is a `hidden beast` number, since 5 + 3 + 6 + 4 + 0 + 40 + 608 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30829741056 + 22810665024 = 175584^2 + 151032^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 2757990 + ... + 2777370.

Almost surely, 2^53640406080 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 53640406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95327052678).

53640406080 is an abundant number, since it is smaller than the sum of its proper divisors (137013699276).

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

53640406080 is a wasteful number, since it uses less digits than its factorization.

53640406080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19466 (or 19422 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 53640406080 in words is "fifty-three billion, six hundred forty million, four hundred six thousand, eighty".