11088408038400 has 2376 divisors, whose sum is σ = 52263985265856. Its totient is φ = 2303388057600.

The previous prime is 11088408038359. The next prime is 11088408038419. The reversal of 11088408038400 is 483080488011.

11088408038400 is a `hidden beast` number, since 110 + 8 + 84 + 0 + 80 + 384 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2376).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3353009547 + ... + 3353012853.

Almost surely, 2^{11088408038400} is an apocalyptic number.

11088408038400 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 11088408038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26131992632928).

11088408038400 is an abundant number, since it is smaller than the sum of its proper divisors (41175577227456).

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

11088408038400 is a wasteful number, since it uses less digits than its factorization.

11088408038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3377 (or 3335 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 11088408038400 in words is "eleven trillion, eighty-eight billion, four hundred eight million, thirty-eight thousand, four hundred".