1053158400 has 396 divisors, whose sum is σ = 4316091312. Its totient is φ = 240353280.

The previous prime is 1053158357. The next prime is 1053158527. The reversal of 1053158400 is 48513501.

1053158400 is a `hidden beast` number, since 105 + 3 + 158 + 400 = 666.

It is a super-2 number, since 2×1053158400² = 2218285230981120000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1612474 + ... + 1613126.

Almost surely, 2^1053158400 is an apocalyptic number.

1053158400 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 1053158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2158045656).

1053158400 is an abundant number, since it is smaller than the sum of its proper divisors (3262932912).

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

1053158400 is a wasteful number, since it uses less digits than its factorization.

1053158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1053158400 is about 32452.4020682599. The cubic root of 1053158400 is about 1017.4144434418.

The spelling of 1053158400 in words is "one billion, fifty-three million, one hundred fifty-eight thousand, four hundred".