7851450760560 has 240 divisors, whose sum is σ = 28776734644320. Its totient is φ = 1902596290560.

The previous prime is 7851450760547. The next prime is 7851450760607. The reversal of 7851450760560 is 650670541587.

It is a happy number.

7851450760560 is a `hidden beast` number, since 7 + 8 + 5 + 1 + 4 + 5 + 0 + 76 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 7851450760497 and 7851450760506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19097646 + ... + 19504434.

It is an arithmetic number, because the mean of its divisors is an integer number (119903061018).

Almost surely, 2^{7851450760560} 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 7851450760560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14388367322160).

7851450760560 is an abundant number, since it is smaller than the sum of its proper divisors (20925283883760).

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

7851450760560 is a wasteful number, since it uses less digits than its factorization.

7851450760560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409256 (or 409247 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 7851450760560 in words is "seven trillion, eight hundred fifty-one billion, four hundred fifty million, seven hundred sixty thousand, five hundred sixty".