10089149112000 has 2688 divisors, whose sum is σ = 44897326755840. Its totient is φ = 2111687884800.

The previous prime is 10089149111999. The next prime is 10089149112023. The reversal of 10089149112000 is 21194198001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 52275383904 + ... + 52275384096.

Almost surely, 2^{10089149112000} is an apocalyptic number.

10089149112000 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 10089149112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22448663377920).

10089149112000 is an abundant number, since it is smaller than the sum of its proper divisors (34808177643840).

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

10089149112000 is a wasteful number, since it uses less digits than its factorization.

10089149112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 10089149112000 in words is "ten trillion, eighty-nine billion, one hundred forty-nine million, one hundred twelve thousand".