1092801070800 has 90 divisors (see below), whose sum is σ = 3792323284022. Its totient is φ = 291413617920.

The previous prime is 1092801070769. The next prime is 1092801070831. The reversal of 1092801070800 is 80701082901.

It is an interprime number because it is at equal distance from previous prime (1092801070769) and next prime (1092801070831).

It can be written as a sum of positive squares in 3 ways, for example, as 175021742736 + 917779328064 = 418356^2 + 958008^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×1092801070800² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 151774327 + ... + 151781526.

Almost surely, 2^{1092801070800} is an apocalyptic number.

1092801070800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1092801070800 is an abundant number, since it is smaller than the sum of its proper divisors (2699522213222).

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

1092801070800 is a wasteful number, since it uses less digits than its factorization.

1092801070800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303555877 (or 303555863 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 1092801070800 in words is "one trillion, ninety-two billion, eight hundred one million, seventy thousand, eight hundred".