52659901440 has 880 divisors, whose sum is σ = 204728166720. Its totient is φ = 12899450880.

The previous prime is 52659901439. The next prime is 52659901457. The reversal of 52659901440 is 4410995625.

52659901440 is a `hidden beast` number, since 5 + 2 + 6 + 599 + 0 + 14 + 40 = 666.

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 79 ways as a sum of consecutive naturals, for example, 323066799 + ... + 323066961.

It is an arithmetic number, because the mean of its divisors is an integer number (232645644).

Almost surely, 2^52659901440 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 52659901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102364083360).

52659901440 is an abundant number, since it is smaller than the sum of its proper divisors (152068265280).

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

52659901440 is a wasteful number, since it uses less digits than its factorization.

52659901440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 52659901440 in words is "fifty-two billion, six hundred fifty-nine million, nine hundred one thousand, four hundred forty".