11625545917440 has 3520 divisors, whose sum is σ = 55819217879040. Its totient is φ = 2244504453120.

The previous prime is 11625545917439. The next prime is 11625545917441. The reversal of 11625545917440 is 4471954552611.

11625545917440 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 5 + 5 + 4 + 591 + 7 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (11625545917439) and next prime (11625545917441).

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

It is not an unprimeable number, because it can be changed into a prime (11625545917441) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 22228577019 + ... + 22228577541.

It is an arithmetic number, because the mean of its divisors is an integer number (15857732352).

Almost surely, 2^{11625545917440} is an apocalyptic number.

11625545917440 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 11625545917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27909608939520).

11625545917440 is an abundant number, since it is smaller than the sum of its proper divisors (44193671961600).

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

11625545917440 is a wasteful number, since it uses less digits than its factorization.

11625545917440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 11625545917440 in words is "eleven trillion, six hundred twenty-five billion, five hundred forty-five million, nine hundred seventeen thousand, four hundred forty".