7525140000 has 960 divisors, whose sum is σ = 31741839360. Its totient is φ = 1520640000.

The previous prime is 7525139983. The next prime is 7525140013. The reversal of 7525140000 is 415257.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 183539980 + ... + 183540020.

It is an arithmetic number, because the mean of its divisors is an integer number (33064416).

Almost surely, 2^7525140000 is an apocalyptic number.

7525140000 is a gapful number since it is divisible by the number (70) 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 7525140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15870919680).

7525140000 is an abundant number, since it is smaller than the sum of its proper divisors (24216699360).

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

7525140000 is a wasteful number, since it uses less digits than its factorization.

7525140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 7525140000 is about 86747.5648073189. The cubic root of 7525140000 is about 1959.6184874541.

Adding to 7525140000 its reverse (415257), we get a palindrome (7525555257).

The spelling of 7525140000 in words is "seven billion, five hundred twenty-five million, one hundred forty thousand".