11498760000 has 1260 divisors, whose sum is σ = 52856355552. Its totient is φ = 2426112000.

The previous prime is 11498759969. The next prime is 11498760017. The reversal of 11498760000 is 6789411.

11498760000 is a `hidden beast` number, since 1 + 1 + 49 + 8 + 7 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 884519994 + ... + 884520006.

Almost surely, 2^11498760000 is an apocalyptic number.

11498760000 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 11498760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26428177776).

11498760000 is an abundant number, since it is smaller than the sum of its proper divisors (41357595552).

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

11498760000 is an frugal number, since it uses more digits than its factorization.

11498760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Multiplying 11498760000 by its product of nonzero digits (12096), we get a square (139089000960000 = 11793600²).

11498760000 divided by its product of nonzero digits (12096) gives a square (950625 = 975²).

The spelling of 11498760000 in words is "eleven billion, four hundred ninety-eight million, seven hundred sixty thousand".