1002602295072 has 360 divisors, whose sum is σ = 3432991460976. Its totient is φ = 286210858752.

The previous prime is 1002602295031. The next prime is 1002602295073. The reversal of 1002602295072 is 2705922062001.

It is a happy number.

1002602295072 is a `hidden beast` number, since 100 + 26 + 0 + 2 + 29 + 507 + 2 = 666.

It is a super-2 number, since 2×1002602295072² (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 (1002602295073) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 188350203 + ... + 188355525.

Almost surely, 2^{1002602295072} is an apocalyptic number.

1002602295072 is a gapful number since it is divisible by the number (12) 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 1002602295072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716495730488).

1002602295072 is an abundant number, since it is smaller than the sum of its proper divisors (2430389165904).

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

1002602295072 is a wasteful number, since it uses less digits than its factorization.

1002602295072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6842 (or 6818 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 1002602295072 in words is "one trillion, two billion, six hundred two million, two hundred ninety-five thousand, seventy-two".