10987752000 has 224 divisors, whose sum is σ = 37535022720. Its totient is φ = 2828851200.

The previous prime is 10987751989. The next prime is 10987752037. The reversal of 10987752000 is 25778901.

It is a self number, because there is not a number n which added to its sum of digits gives 10987752000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 688107 + ... + 703893.

Almost surely, 2^10987752000 is an apocalyptic number.

10987752000 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 10987752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18767511360).

10987752000 is an abundant number, since it is smaller than the sum of its proper divisors (26547270720).

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

10987752000 is a wasteful number, since it uses less digits than its factorization.

10987752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15846 (or 15826 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The spelling of 10987752000 in words is "ten billion, nine hundred eighty-seven million, seven hundred fifty-two thousand".