11608288902000 has 640 divisors, whose sum is σ = 47985524920320. Its totient is φ = 2627553945600.

The previous prime is 11608288901987. The next prime is 11608288902011. The reversal of 11608288902000 is 20988280611.

It is a happy number.

11608288902000 is a `hidden beast` number, since 1 + 160 + 8 + 288 + 9 + 0 + 200 + 0 = 666.

It is a super-3 number, since 3×11608288902000³ (a number of 40 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38784924 + ... + 39083076.

It is an arithmetic number, because the mean of its divisors is an integer number (74977382688).

Almost surely, 2^{11608288902000} is an apocalyptic number.

11608288902000 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 11608288902000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23992762460160).

11608288902000 is an abundant number, since it is smaller than the sum of its proper divisors (36377236018320).

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

11608288902000 is a wasteful number, since it uses less digits than its factorization.

11608288902000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298295 (or 298273 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 11608288902000 in words is "eleven trillion, six hundred eight billion, two hundred eighty-eight million, nine hundred two thousand".