10577778534 has 48 divisors (see below), whose sum is σ = 24246144000. Its totient is φ = 3323544048.

The previous prime is 10577778527. The next prime is 10577778571. The reversal of 10577778534 is 43587777501.

10577778534 is a `hidden beast` number, since 10 + 577 + 7 + 7 + 8 + 53 + 4 = 666.

It is a super-2 number, since 2×10577778534² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9654 + ... + 145769.

It is an arithmetic number, because the mean of its divisors is an integer number (505128000).

Almost surely, 2^10577778534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10577778534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12123072000).

10577778534 is an abundant number, since it is smaller than the sum of its proper divisors (13668365466).

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

10577778534 is a wasteful number, since it uses less digits than its factorization.

10577778534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155649 (or 155646 counting only the distinct ones).

The product of its (nonzero) digits is 5762400, while the sum is 54.

The spelling of 10577778534 in words is "ten billion, five hundred seventy-seven million, seven hundred seventy-eight thousand, five hundred thirty-four".