1053888675840 has 3264 divisors, whose sum is σ = 5422187070720. Its totient is φ = 190253629440.

The previous prime is 1053888675799. The next prime is 1053888675859. The reversal of 1053888675840 is 485768883501.

1053888675840 is a `hidden beast` number, since 1 + 0 + 538 + 8 + 8 + 6 + 7 + 58 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3264).

It is a super-2 number, since 2×1053888675840² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 61993451512 + ... + 61993451528.

Almost surely, 2^{1053888675840} is an apocalyptic number.

1053888675840 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 1053888675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2711093535360).

1053888675840 is an abundant number, since it is smaller than the sum of its proper divisors (4368298394880).

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

1053888675840 is a wasteful number, since it uses less digits than its factorization.

1053888675840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 1053888675840 in words is "one trillion, fifty-three billion, eight hundred eighty-eight million, six hundred seventy-five thousand, eight hundred forty".