59953049913240 has 640 divisors, whose sum is σ = 230765407488000. Its totient is φ = 13826822860800.

The previous prime is 59953049913187. The next prime is 59953049913353. The reversal of 59953049913240 is 4231994035995.

59953049913240 is a `hidden beast` number, since 5 + 9 + 9 + 5 + 3 + 0 + 499 + 132 + 4 + 0 = 666.

59953049913240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 64725696 + ... + 65645424.

It is an arithmetic number, because the mean of its divisors is an integer number (360570949200).

Almost surely, 2^{59953049913240} 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 59953049913240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115382703744000).

59953049913240 is an abundant number, since it is smaller than the sum of its proper divisors (170812357574760).

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

59953049913240 is a wasteful number, since it uses less digits than its factorization.

59953049913240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919853 (or 919840 counting only the distinct ones).

The product of its (nonzero) digits is 47239200, while the sum is 63.

The spelling of 59953049913240 in words is "fifty-nine trillion, nine hundred fifty-three billion, forty-nine million, nine hundred thirteen thousand, two hundred forty".