10975181930496 has 1620 divisors, whose sum is σ = 41074150156578. Its totient is φ = 2910880530432.

The previous prime is 10975181930477. The next prime is 10975181930527. The reversal of 10975181930496 is 69403918157901.

10975181930496 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 51 + 8 + 1 + 93 + 0 + 496 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 10931222937600 + 43958992896 = 3306240^2 + 209664^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 150344957916 + ... + 150344957988.

Almost surely, 2^{10975181930496} is an apocalyptic number.

10975181930496 is a gapful number since it is divisible by the number (16) 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 10975181930496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20537075078289).

10975181930496 is an abundant number, since it is smaller than the sum of its proper divisors (30098968226082).

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

10975181930496 is an frugal number, since it uses more digits than its factorization.

10975181930496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 63.

The spelling of 10975181930496 in words is "ten trillion, nine hundred seventy-five billion, one hundred eighty-one million, nine hundred thirty thousand, four hundred ninety-six".