7851120797520 has 3840 divisors, whose sum is σ = 39222232473600. Its totient is φ = 1397440512000.

The previous prime is 7851120797489. The next prime is 7851120797551. The reversal of 7851120797520 is 257970211587.

7851120797520 is a `hidden beast` number, since 7 + 8 + 5 + 1 + 1 + 20 + 7 + 97 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (7851120797489) and next prime (7851120797551).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 32577264600 + ... + 32577264840.

It is an arithmetic number, because the mean of its divisors is an integer number (10214123040).

Almost surely, 2^{7851120797520} is an apocalyptic number.

7851120797520 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 7851120797520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19611116236800).

7851120797520 is an abundant number, since it is smaller than the sum of its proper divisors (31371111676080).

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

7851120797520 is a wasteful number, since it uses less digits than its factorization.

7851120797520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 54.

The spelling of 7851120797520 in words is "seven trillion, eight hundred fifty-one billion, one hundred twenty million, seven hundred ninety-seven thousand, five hundred twenty".