6557177520954 has 256 divisors, whose sum is σ = 16383502195200. Its totient is φ = 1931788320768.

The previous prime is 6557177520919. The next prime is 6557177520967. The reversal of 6557177520954 is 4590257717556.

6557177520954 is a `hidden beast` number, since 6 + 5 + 5 + 7 + 17 + 7 + 520 + 95 + 4 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6557177520891 and 6557177520900.

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, 2038287954 + ... + 2038291170.

It is an arithmetic number, because the mean of its divisors is an integer number (63998055450).

Almost surely, 2^{6557177520954} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6557177520954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8191751097600).

6557177520954 is an abundant number, since it is smaller than the sum of its proper divisors (9826324674246).

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

6557177520954 is a wasteful number, since it uses less digits than its factorization.

6557177520954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4254 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 92610000, while the sum is 63.

The spelling of 6557177520954 in words is "six trillion, five hundred fifty-seven billion, one hundred seventy-seven million, five hundred twenty thousand, nine hundred fifty-four".