11298451752000 has 1344 divisors, whose sum is σ = 48424059290880. Its totient is φ = 2571609600000.

The previous prime is 11298451751999. The next prime is 11298451752053. The reversal of 11298451752000 is 25715489211.

11298451752000 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 84 + 517 + 52 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 2656581874 + ... + 2656586126.

It is an arithmetic number, because the mean of its divisors is an integer number (36029806020).

Almost surely, 2^{11298451752000} is an apocalyptic number.

11298451752000 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 11298451752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24212029645440).

11298451752000 is an abundant number, since it is smaller than the sum of its proper divisors (37125607538880).

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

11298451752000 is a wasteful number, since it uses less digits than its factorization.

11298451752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4554 (or 4521 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 11298451752000 in words is "eleven trillion, two hundred ninety-eight billion, four hundred fifty-one million, seven hundred fifty-two thousand".