10978424709120 has 3360 divisors, whose sum is σ = 47836949751360. Its totient is φ = 2397988454400.

The previous prime is 10978424709101. The next prime is 10978424709157. The reversal of 10978424709120 is 2190742487901.

10978424709120 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 8 + 42 + 470 + 9 + 120 = 666.

It is a super-2 number, since 2×10978424709120² (a number of 27 digits) contains 22 as substring.

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 239 ways as a sum of consecutive naturals, for example, 267766456300 + ... + 267766456340.

It is an arithmetic number, because the mean of its divisors is an integer number (14237187426).

Almost surely, 2^{10978424709120} is an apocalyptic number.

10978424709120 is a gapful number since it is divisible by the number (10) 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 10978424709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23918474875680).

10978424709120 is an abundant number, since it is smaller than the sum of its proper divisors (36858525042240).

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

10978424709120 is a wasteful number, since it uses less digits than its factorization.

10978424709120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 10978424709120 in words is "ten trillion, nine hundred seventy-eight billion, four hundred twenty-four million, seven hundred nine thousand, one hundred twenty".