1022869166800 has 60 divisors (see below), whose sum is σ = 2646477276940. Its totient is φ = 377674767360.

The previous prime is 1022869166797. The next prime is 1022869166807. The reversal of 1022869166800 is 86619682201.

1022869166800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 325931377216 + 696937789584 = 570904^2 + 834828^2 .

It is a super-2 number, since 2×1022869166800² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022869166807) 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, 98347605 + ... + 98358004.

Almost surely, 2^{1022869166800} is an apocalyptic number.

1022869166800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022869166800 is an abundant number, since it is smaller than the sum of its proper divisors (1623608110140).

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

1022869166800 is a wasteful number, since it uses less digits than its factorization.

1022869166800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196705640 (or 196705629 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

The spelling of 1022869166800 in words is "one trillion, twenty-two billion, eight hundred sixty-nine million, one hundred sixty-six thousand, eight hundred".