10977887648448 has 896 divisors, whose sum is σ = 39056847667200. Its totient is φ = 2956091314176.

The previous prime is 10977887648407. The next prime is 10977887648461. The reversal of 10977887648448 is 84484678877901.

10977887648448 is a `hidden beast` number, since 1 + 0 + 97 + 7 + 8 + 8 + 7 + 6 + 484 + 48 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5547188323 + ... + 5547190301.

Almost surely, 2^{10977887648448} is an apocalyptic number.

10977887648448 is a gapful number since it is divisible by the number (18) 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 10977887648448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19528423833600).

10977887648448 is an abundant number, since it is smaller than the sum of its proper divisors (28078960018752).

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

10977887648448 is a wasteful number, since it uses less digits than its factorization.

10977887648448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 4855431168, while the sum is 81.

The spelling of 10977887648448 in words is "ten trillion, nine hundred seventy-seven billion, eight hundred eighty-seven million, six hundred forty-eight thousand, four hundred forty-eight".