10978497331200 has 2448 divisors, whose sum is σ = 48031326560256. Its totient is φ = 2344196505600.

The previous prime is 10978497331177. The next prime is 10978497331267. The reversal of 10978497331200 is 213379487901.

10978497331200 is a `hidden beast` number, since 10 + 9 + 7 + 8 + 4 + 97 + 331 + 200 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 150390374364 + ... + 150390374436.

Almost surely, 2^{10978497331200} is an apocalyptic number.

10978497331200 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 10978497331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24015663280128).

10978497331200 is an abundant number, since it is smaller than the sum of its proper divisors (37052829229056).

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

10978497331200 is an equidigital number, since it uses as much as digits as its factorization.

10978497331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 10978497331200 in words is "ten trillion, nine hundred seventy-eight billion, four hundred ninety-seven million, three hundred thirty-one thousand, two hundred".