1059153638400 has 3168 divisors, whose sum is σ = 4949329222656. Its totient is φ = 212336640000.

The previous prime is 1059153638377. The next prime is 1059153638419. The reversal of 1059153638400 is 48363519501.

1059153638400 is a `hidden beast` number, since 1 + 0 + 5 + 9 + 1 + 5 + 3 + 638 + 4 + 0 + 0 = 666.

1059153638400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a super-2 number, since 2×1059153638400² (a number of 25 digits) contains 22 as substring.

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 17363174370 + ... + 17363174430.

Almost surely, 2^{1059153638400} is an apocalyptic number.

1059153638400 is a gapful number since it is divisible by the number (10) 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 1059153638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474664611328).

1059153638400 is an abundant number, since it is smaller than the sum of its proper divisors (3890175584256).

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

1059153638400 is a wasteful number, since it uses less digits than its factorization.

1059153638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 143 counting only the distinct ones).

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

The spelling of 1059153638400 in words is "one trillion, fifty-nine billion, one hundred fifty-three million, six hundred thirty-eight thousand, four hundred".