7541625111552 has 352 divisors, whose sum is σ = 25687993616640. Its totient is φ = 2141016883200.

The previous prime is 7541625111551. The next prime is 7541625111589. The reversal of 7541625111552 is 2551115261457.

7541625111552 is a `hidden beast` number, since 7 + 5 + 4 + 1 + 625 + 1 + 1 + 15 + 5 + 2 = 666.

It is a super-2 number, since 2×7541625111552² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7541625111498 and 7541625111507.

It is not an unprimeable number, because it can be changed into a prime (7541625111551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30261052 + ... + 30509252.

Almost surely, 2^{7541625111552} is an apocalyptic number.

7541625111552 is a gapful number since it is divisible by the number (72) 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 7541625111552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12843996808320).

7541625111552 is an abundant number, since it is smaller than the sum of its proper divisors (18146368505088).

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

7541625111552 is a wasteful number, since it uses less digits than its factorization.

7541625111552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248394 (or 248370 counting only the distinct ones).

The product of its digits is 420000, while the sum is 45.

The spelling of 7541625111552 in words is "seven trillion, five hundred forty-one billion, six hundred twenty-five million, one hundred eleven thousand, five hundred fifty-two".