1002086152704 has 1120 divisors, whose sum is σ = 3737911841664. Its totient is φ = 261213880320.

The previous prime is 1002086152699. The next prime is 1002086152723. The reversal of 1002086152704 is 4072516802001.

1002086152704 is a `hidden beast` number, since 10 + 0 + 2 + 0 + 8 + 615 + 27 + 0 + 4 = 666.

It is a super-2 number, since 2×1002086152704² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5536387494 + ... + 5536387674.

Almost surely, 2^{1002086152704} is an apocalyptic number.

1002086152704 is a gapful number since it is divisible by the number (14) 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 1002086152704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868955920832).

1002086152704 is an abundant number, since it is smaller than the sum of its proper divisors (2735825688960).

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

1002086152704 is an equidigital number, since it uses as much as digits as its factorization.

1002086152704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 1002086152704 in words is "one trillion, two billion, eighty-six million, one hundred fifty-two thousand, seven hundred four".