53964015840 has 288 divisors, whose sum is σ = 221537272320. Its totient is φ = 11685399552.

The previous prime is 53964015839. The next prime is 53964015877. The reversal of 53964015840 is 4851046935.

53964015840 is a `hidden beast` number, since 5 + 3 + 9 + 64 + 0 + 1 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50637 + ... + 332403.

It is an arithmetic number, because the mean of its divisors is an integer number (769226640).

Almost surely, 2^53964015840 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 53964015840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110768636160).

53964015840 is an abundant number, since it is smaller than the sum of its proper divisors (167573256480).

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

53964015840 is a wasteful number, since it uses less digits than its factorization.

53964015840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281814 (or 281803 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 53964015840 in words is "fifty-three billion, nine hundred sixty-four million, fifteen thousand, eight hundred forty".