1053624135564 has 576 divisors, whose sum is σ = 3758296550400. Its totient is φ = 248318991360.

The previous prime is 1053624135533. The next prime is 1053624135607. The reversal of 1053624135564 is 4655314263501.

It is a happy number.

1053624135564 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 624 + 13 + 5 + 5 + 6 + 4 = 666.

It is a super-2 number, since 2×1053624135564² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 70154584 + ... + 70169600.

It is an arithmetic number, because the mean of its divisors is an integer number (6524820400).

Almost surely, 2^{1053624135564} is an apocalyptic number.

1053624135564 is a gapful number since it is divisible by the number (14) 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 1053624135564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879148275200).

1053624135564 is an abundant number, since it is smaller than the sum of its proper divisors (2704672414836).

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

1053624135564 is a wasteful number, since it uses less digits than its factorization.

1053624135564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15131 (or 15112 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 1053624135564 in words is "one trillion, fifty-three billion, six hundred twenty-four million, one hundred thirty-five thousand, five hundred sixty-four".