10499177664 has 112 divisors (see below), whose sum is σ = 31618671840. Its totient is φ = 3414343680.

The previous prime is 10499177639. The next prime is 10499177669. The reversal of 10499177664 is 46677199401.

10499177664 is a `hidden beast` number, since 10 + 499 + 17 + 76 + 64 = 666.

It is a super-2 number, since 2×10499177664² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 10499177664.

It is not an unprimeable number, because it can be changed into a prime (10499177669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3249 + ... + 144944.

It is an arithmetic number, because the mean of its divisors is an integer number (282309570).

Almost surely, 2^10499177664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10499177664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15809335920).

10499177664 is an abundant number, since it is smaller than the sum of its proper divisors (21119494176).

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

10499177664 is a wasteful number, since it uses less digits than its factorization.

10499177664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148255 (or 148239 counting only the distinct ones).

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

The spelling of 10499177664 in words is "ten billion, four hundred ninety-nine million, one hundred seventy-seven thousand, six hundred sixty-four".