59053798440000 has 6300 divisors, whose sum is σ = 288435389730048. Its totient is φ = 11887948800000.

The previous prime is 59053798439921. The next prime is 59053798440011. The reversal of 59053798440000 is 4489735095.

59053798440000 is a `hidden beast` number, since 5 + 90 + 5 + 3 + 79 + 84 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6300).

It is a super-2 number, since 2×59053798440000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 899 ways as a sum of consecutive naturals, for example, 831743639965 + ... + 831743640035.

Almost surely, 2^{59053798440000} is an apocalyptic number.

59053798440000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59053798440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144217694865024).

59053798440000 is an abundant number, since it is smaller than the sum of its proper divisors (229381591290048).

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

59053798440000 is a wasteful number, since it uses less digits than its factorization.

59053798440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 59053798440000 in words is "fifty-nine trillion, fifty-three billion, seven hundred ninety-eight million, four hundred forty thousand".