1053661190400 has 2187 divisors, whose sum is σ = 4848232636611. Its totient is φ = 217580912640.

The previous prime is 1053661190381. The next prime is 1053661190411. The reversal of 1053661190400 is 40911663501.

The square root of 1053661190400 is 1026480.

It is a perfect power (a square), and thus also a powerful number.

1053661190400 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 6 + 61 + 190 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 271582730496 + 782078459904 = 521136^2 + 884352^2 .

It is a super-2 number, since 2×1053661190400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 22418323177 + ... + 22418323223.

Almost surely, 2^{1053661190400} is an apocalyptic number.

1053661190400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1053661190400 is the 1026480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053661190400

1053661190400 is an abundant number, since it is smaller than the sum of its proper divisors (3794571446211).

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

1053661190400 is a wasteful number, since it uses less digits than its factorization.

1053661190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

Multiplying 1053661190400 by its sum of digits (36), we get a square (37931802854400 = 6158880²).

1053661190400 divided by its sum of digits (36) gives a square (29268366400 = 171080²).

The spelling of 1053661190400 in words is "one trillion, fifty-three billion, six hundred sixty-one million, one hundred ninety thousand, four hundred".