7851232198656 has 1200 divisors, whose sum is σ = 29853785887200. Its totient is φ = 2039281090560.

The previous prime is 7851232198633. The next prime is 7851232198721. The reversal of 7851232198656 is 6568912321587.

7851232198656 is a `hidden beast` number, since 7 + 8 + 512 + 3 + 21 + 98 + 6 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (43545600) is a multiple of the sum of its prime factors (96).

It is a junction number, because it is equal to n+sod(n) for n = 7851232198593 and 7851232198602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 713748381691 + ... + 713748381701.

It is an arithmetic number, because the mean of its divisors is an integer number (24878154906).

Almost surely, 2^{7851232198656} 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 7851232198656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14926892943600).

7851232198656 is an abundant number, since it is smaller than the sum of its proper divisors (22002553688544).

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

7851232198656 is an frugal number, since it uses more digits than its factorization.

7851232198656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 23 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The spelling of 7851232198656 in words is "seven trillion, eight hundred fifty-one billion, two hundred thirty-two million, one hundred ninety-eight thousand, six hundred fifty-six".