1053218520000 has 840 divisors, whose sum is σ = 3954942763200. Its totient is φ = 267531264000.

The previous prime is 1053218519959. The next prime is 1053218520043. The reversal of 1053218520000 is 258123501.

It is a happy number.

1053218520000 is a `hidden beast` number, since 105 + 32 + 1 + 8 + 520 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×1053218520000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 824759362 + ... + 824760638.

Almost surely, 2^{1053218520000} is an apocalyptic number.

1053218520000 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 1053218520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1977471381600).

1053218520000 is an abundant number, since it is smaller than the sum of its proper divisors (2901724243200).

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

1053218520000 is a wasteful number, since it uses less digits than its factorization.

1053218520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1395 counting only the distinct ones).

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

The spelling of 1053218520000 in words is "one trillion, fifty-three billion, two hundred eighteen million, five hundred twenty thousand".