1064882102800 has 60 divisors (see below), whose sum is σ = 2601741669840. Its totient is φ = 418733292160.

The previous prime is 1064882102789. The next prime is 1064882102807. The reversal of 1064882102800 is 82012884601.

It is a super-2 number, since 2×1064882102800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1064882102807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22537462 + ... + 22584661.

It is an arithmetic number, because the mean of its divisors is an integer number (43362361164).

Almost surely, 2^{1064882102800} is an apocalyptic number.

1064882102800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1064882102800 is an abundant number, since it is smaller than the sum of its proper divisors (1536859567040).

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

1064882102800 is a wasteful number, since it uses less digits than its factorization.

1064882102800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45122200 (or 45122189 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The spelling of 1064882102800 in words is "one trillion, sixty-four billion, eight hundred eighty-two million, one hundred two thousand, eight hundred".