1053491594400 has 576 divisors, whose sum is σ = 4363470720000. Its totient is φ = 240298306560.

The previous prime is 1053491594359. The next prime is 1053491594443. The reversal of 1053491594400 is 44951943501.

1053491594400 is a `hidden beast` number, since 1 + 0 + 53 + 4 + 9 + 1 + 594 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×1053491594400² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75441819 + ... + 75455781.

It is an arithmetic number, because the mean of its divisors is an integer number (7575470000).

Almost surely, 2^{1053491594400} is an apocalyptic number.

1053491594400 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 1053491594400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181735360000).

1053491594400 is an abundant number, since it is smaller than the sum of its proper divisors (3309979125600).

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

1053491594400 is a wasteful number, since it uses less digits than its factorization.

1053491594400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14498 (or 14479 counting only the distinct ones).

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

The spelling of 1053491594400 in words is "one trillion, fifty-three billion, four hundred ninety-one million, five hundred ninety-four thousand, four hundred".