59535436878240 has 384 divisors, whose sum is σ = 193229909655552. Its totient is φ = 15399384698880.

The previous prime is 59535436878223. The next prime is 59535436878251. The reversal of 59535436878240 is 4287863453595.

It is a Cunningham number, because it is equal to 7715921²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7268392545 + ... + 7268400735.

It is an arithmetic number, because the mean of its divisors is an integer number (503202889728).

Almost surely, 2^{59535436878240} 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 59535436878240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96614954827776).

59535436878240 is an abundant number, since it is smaller than the sum of its proper divisors (133694472777312).

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

59535436878240 is a wasteful number, since it uses less digits than its factorization.

59535436878240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10652 (or 10644 counting only the distinct ones).

The product of its (nonzero) digits is 870912000, while the sum is 69.

The spelling of 59535436878240 in words is "fifty-nine trillion, five hundred thirty-five billion, four hundred thirty-six million, eight hundred seventy-eight thousand, two hundred forty".