7985898060480 has 560 divisors, whose sum is σ = 30096463247136. Its totient is φ = 2003090964480.

The previous prime is 7985898060397. The next prime is 7985898060559. The reversal of 7985898060480 is 840608985897.

7985898060480 is a `hidden beast` number, since 7 + 9 + 8 + 5 + 8 + 9 + 8 + 0 + 604 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 7985898060399 and 7985898060408.

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 79 ways as a sum of consecutive naturals, for example, 893172810 + ... + 893181750.

Almost surely, 2^{7985898060480} 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 7985898060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15048231623568).

7985898060480 is an abundant number, since it is smaller than the sum of its proper divisors (22110565186656).

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

7985898060480 is a wasteful number, since it uses less digits than its factorization.

7985898060480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11014 (or 10995 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 7985898060480 in words is "seven trillion, nine hundred eighty-five billion, eight hundred ninety-eight million, sixty thousand, four hundred eighty".