1088295492900 has 864 divisors, whose sum is σ = 4146812337024. Its totient is φ = 217728000000.

The previous prime is 1088295492899. The next prime is 1088295492919. The reversal of 1088295492900 is 92945928801.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 604272000 + ... + 604273800.

It is an arithmetic number, because the mean of its divisors is an integer number (4799551316).

Almost surely, 2^{1088295492900} is an apocalyptic number.

1088295492900 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 1088295492900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073406168512).

1088295492900 is an abundant number, since it is smaller than the sum of its proper divisors (3058516844124).

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

1088295492900 is a wasteful number, since it uses less digits than its factorization.

1088295492900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 57.

The spelling of 1088295492900 in words is "one trillion, eighty-eight billion, two hundred ninety-five million, four hundred ninety-two thousand, nine hundred".