7525048901760 has 512 divisors, whose sum is σ = 29627184384000. Its totient is φ = 1792565821440.

The previous prime is 7525048901737. The next prime is 7525048901767. The reversal of 7525048901760 is 671098405257.

7525048901760 is a `hidden beast` number, since 7 + 52 + 50 + 489 + 0 + 1 + 7 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7525048901697 and 7525048901706.

It is not an unprimeable number, because it can be changed into a prime (7525048901767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6423546 + ... + 7504134.

It is an arithmetic number, because the mean of its divisors is an integer number (57865594500).

Almost surely, 2^{7525048901760} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7525048901760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14813592192000).

7525048901760 is an abundant number, since it is smaller than the sum of its proper divisors (22102135482240).

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

7525048901760 is a wasteful number, since it uses less digits than its factorization.

7525048901760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080661 (or 1080643 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 7525048901760 in words is "seven trillion, five hundred twenty-five billion, forty-eight million, nine hundred one thousand, seven hundred sixty".