11615745372000 has 1152 divisors, whose sum is σ = 48662299445760. Its totient is φ = 2395061760000.

The previous prime is 11615745371999. The next prime is 11615745372031. The reversal of 11615745372000 is 27354751611.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 847301146 + ... + 847314854.

It is an arithmetic number, because the mean of its divisors is an integer number (42241579380).

Almost surely, 2^{11615745372000} is an apocalyptic number.

11615745372000 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 11615745372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24331149722880).

11615745372000 is an abundant number, since it is smaller than the sum of its proper divisors (37046554073760).

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

11615745372000 is a wasteful number, since it uses less digits than its factorization.

11615745372000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13893 (or 13868 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The spelling of 11615745372000 in words is "eleven trillion, six hundred fifteen billion, seven hundred forty-five million, three hundred seventy-two thousand".