7121350978560 has 2376 divisors, whose sum is σ = 32829354164880. Its totient is φ = 1410849570816.

The previous prime is 7121350978523. The next prime is 7121350978589. The reversal of 7121350978560 is 658790531217.

7121350978560 is a `hidden beast` number, since 7 + 1 + 2 + 1 + 3 + 5 + 0 + 9 + 78 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7121350978497 and 7121350978506.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 63020805064 + ... + 63020805176.

Almost surely, 2^{7121350978560} is an apocalyptic number.

7121350978560 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 7121350978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16414677082440).

7121350978560 is an abundant number, since it is smaller than the sum of its proper divisors (25708003186320).

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

7121350978560 is a wasteful number, since it uses less digits than its factorization.

7121350978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 7121350978560 in words is "seven trillion, one hundred twenty-one billion, three hundred fifty million, nine hundred seventy-eight thousand, five hundred sixty".