7515912281040 has 640 divisors, whose sum is σ = 28311275105280. Its totient is φ = 1825367851008.

The previous prime is 7515912280999. The next prime is 7515912281051. The reversal of 7515912281040 is 401822195157.

7515912281040 is a `hidden beast` number, since 7 + 5 + 1 + 591 + 2 + 2 + 8 + 10 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 142043229 + ... + 142096131.

It is an arithmetic number, because the mean of its divisors is an integer number (44236367352).

Almost surely, 2^{7515912281040} 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 7515912281040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14155637552640).

7515912281040 is an abundant number, since it is smaller than the sum of its proper divisors (20795362824240).

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

7515912281040 is a wasteful number, since it uses less digits than its factorization.

7515912281040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53068 (or 53056 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 7515912281040 in words is "seven trillion, five hundred fifteen billion, nine hundred twelve million, two hundred eighty-one thousand, forty".