1088038502400 has 216 divisors, whose sum is σ = 3597799429224. Its totient is φ = 290140979200.

The previous prime is 1088038502359. The next prime is 1088038502401. The reversal of 1088038502400 is 42058308801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1088038502401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9775060 + ... + 9885740.

It is an arithmetic number, because the mean of its divisors is an integer number (16656478839).

Almost surely, 2^{1088038502400} is an apocalyptic number.

1088038502400 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 1088038502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798899714612).

1088038502400 is an abundant number, since it is smaller than the sum of its proper divisors (2509760926824).

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

1088038502400 is an frugal number, since it uses more digits than its factorization.

1088038502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110728 (or 110691 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The spelling of 1088038502400 in words is "one trillion, eighty-eight billion, thirty-eight million, five hundred two thousand, four hundred".