24977092100961 has 384 divisors, whose sum is σ = 46776604557312. Its totient is φ = 11650189824000.

The previous prime is 24977092100929. The next prime is 24977092101041. The reversal of 24977092100961 is 16900129077942.

It is not a de Polignac number, because 24977092100961 - 2⁵ = 24977092100929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (24977092100911) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 59328009531 + ... + 59328009951.

It is an arithmetic number, because the mean of its divisors is an integer number (121814074368).

Almost surely, 2^{24977092100961} is an apocalyptic number.

24977092100961 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

24977092100961 is a deficient number, since it is larger than the sum of its proper divisors (21799512456351).

24977092100961 is a wasteful number, since it uses less digits than its factorization.

24977092100961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 57.

The spelling of 24977092100961 in words is "twenty-four trillion, nine hundred seventy-seven billion, ninety-two million, one hundred thousand, nine hundred sixty-one".