11725863084000 has 1152 divisors, whose sum is σ = 47549120411520. Its totient is φ = 2711052288000.

The previous prime is 11725863083933. The next prime is 11725863084043. The reversal of 11725863084000 is 48036852711.

11725863084000 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 5 + 8 + 630 + 8 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4924762810 + ... + 4924765190.

It is an arithmetic number, because the mean of its divisors is an integer number (41275278135).

Almost surely, 2^{11725863084000} is an apocalyptic number.

11725863084000 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 11725863084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23774560205760).

11725863084000 is an abundant number, since it is smaller than the sum of its proper divisors (35823257327520).

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

11725863084000 is a wasteful number, since it uses less digits than its factorization.

11725863084000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3061 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 11725863084000 in words is "eleven trillion, seven hundred twenty-five billion, eight hundred sixty-three million, eighty-four thousand".