11556246498720 has 1152 divisors, whose sum is σ = 48126248755200. Its totient is φ = 2302342963200.

The previous prime is 11556246498707. The next prime is 11556246498763. The reversal of 11556246498720 is 2789464265511.

11556246498720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 874208271 + ... + 874221489.

It is an arithmetic number, because the mean of its divisors is an integer number (41776257600).

Almost surely, 2^{11556246498720} is an apocalyptic number.

11556246498720 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 11556246498720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24063124377600).

11556246498720 is an abundant number, since it is smaller than the sum of its proper divisors (36570002256480).

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

11556246498720 is a wasteful number, since it uses less digits than its factorization.

11556246498720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13402 (or 13387 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 11556246498720 in words is "eleven trillion, five hundred fifty-six billion, two hundred forty-six million, four hundred ninety-eight thousand, seven hundred twenty".