1102425292800 has 1428 divisors, whose sum is σ = 4476607322544. Its totient is φ = 267544166400.

The previous prime is 1102425292799. The next prime is 1102425292807. The reversal of 1102425292800 is 82925242011.

1102425292800 is a `hidden beast` number, since 1 + 10 + 2 + 42 + 529 + 2 + 80 + 0 = 666.

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 (1102425292807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 15527116765 + ... + 15527116835.

Almost surely, 2^{1102425292800} is an apocalyptic number.

1102425292800 is a gapful number since it is divisible by the number (10) 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 1102425292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2238303661272).

1102425292800 is an abundant number, since it is smaller than the sum of its proper divisors (3374182029744).

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

1102425292800 is an frugal number, since it uses more digits than its factorization.

1102425292800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 1102425292800 in words is "one trillion, one hundred two billion, four hundred twenty-five million, two hundred ninety-two thousand, eight hundred".