1002553456320 has 672 divisors, whose sum is σ = 3862693336320. Its totient is φ = 237047316480.

The previous prime is 1002553456271. The next prime is 1002553456321. The reversal of 1002553456320 is 236543552001.

1002553456320 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 553 + 45 + 63 + 2 + 0 = 666.

It is a super-2 number, since 2×1002553456320² (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 not an unprimeable number, because it can be changed into a prime (1002553456321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109432540 + ... + 109441700.

It is an arithmetic number, because the mean of its divisors is an integer number (5748055560).

Almost surely, 2^{1002553456320} is an apocalyptic number.

1002553456320 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 1002553456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931346668160).

1002553456320 is an abundant number, since it is smaller than the sum of its proper divisors (2860139880000).

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

1002553456320 is a wasteful number, since it uses less digits than its factorization.

1002553456320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9313 (or 9300 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 1002553456320 in words is "one trillion, two billion, five hundred fifty-three million, four hundred fifty-six thousand, three hundred twenty".