11925095761152 has 1296 divisors, whose sum is σ = 43870155336000. Its totient is φ = 3177100910592.

The previous prime is 11925095761123. The next prime is 11925095761217. The reversal of 11925095761152 is 25116759052911.

11925095761152 is a `hidden beast` number, since 1 + 1 + 9 + 2 + 5 + 0 + 9 + 576 + 11 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44331210874 + ... + 44331211142.

It is an arithmetic number, because the mean of its divisors is an integer number (33850428500).

Almost surely, 2^{11925095761152} is an apocalyptic number.

11925095761152 is a gapful number since it is divisible by the number (12) 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 11925095761152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21935077668000).

11925095761152 is an abundant number, since it is smaller than the sum of its proper divisors (31945059574848).

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

11925095761152 is an equidigital number, since it uses as much as digits as its factorization.

11925095761152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 1701000, while the sum is 54.

The spelling of 11925095761152 in words is "eleven trillion, nine hundred twenty-five billion, ninety-five million, seven hundred sixty-one thousand, one hundred fifty-two".