59849106653952 has 1152 divisors, whose sum is σ = 224407606026240. Its totient is φ = 15282763776000.

The previous prime is 59849106653933. The next prime is 59849106654019. The reversal of 59849106653952 is 25935660194895.

59849106653952 is a `hidden beast` number, since 5 + 9 + 84 + 9 + 1 + 0 + 6 + 6 + 539 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×59849106653952² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9320835702 + ... + 9320842122.

It is an arithmetic number, because the mean of its divisors is an integer number (194798269120).

Almost surely, 2^{59849106653952} 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 59849106653952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112203803013120).

59849106653952 is an abundant number, since it is smaller than the sum of its proper divisors (164558499372288).

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

59849106653952 is a wasteful number, since it uses less digits than its factorization.

59849106653952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6758 (or 6738 counting only the distinct ones).

The product of its (nonzero) digits is 629856000, while the sum is 72.

The spelling of 59849106653952 in words is "fifty-nine trillion, eight hundred forty-nine billion, one hundred six million, six hundred fifty-three thousand, nine hundred fifty-two".