7525011072000 has 704 divisors, whose sum is σ = 25493423155200. Its totient is φ = 1969922867200.

The previous prime is 7525011071971. The next prime is 7525011072001. The reversal of 7525011072000 is 2701105257.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (7525011072001) 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, 5705087341 + ... + 5705088659.

It is an arithmetic number, because the mean of its divisors is an integer number (36212248800).

Almost surely, 2^{7525011072000} 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 7525011072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12746711577600).

7525011072000 is an abundant number, since it is smaller than the sum of its proper divisors (17968412083200).

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

7525011072000 is a wasteful number, since it uses less digits than its factorization.

7525011072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 30.

Adding to 7525011072000 its reverse (2701105257), we get a palindrome (7527712177257).

The spelling of 7525011072000 in words is "seven trillion, five hundred twenty-five billion, eleven million, seventy-two thousand".