10546277664 has 96 divisors (see below), whose sum is σ = 30121217280. Its totient is φ = 3211517952.

The previous prime is 10546277629. The next prime is 10546277713. The reversal of 10546277664 is 46677264501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10546277664² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77497 + ... + 164615.

It is an arithmetic number, because the mean of its divisors is an integer number (313762680).

Almost surely, 2^10546277664 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 10546277664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15060608640).

10546277664 is an abundant number, since it is smaller than the sum of its proper divisors (19574939616).

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

10546277664 is a wasteful number, since it uses less digits than its factorization.

10546277664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87242 (or 87234 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 10546277664 in words is "ten billion, five hundred forty-six million, two hundred seventy-seven thousand, six hundred sixty-four".