26562533664 has 96 divisors (see below), whose sum is σ = 72881786880. Its totient is φ = 8454834432.

The previous prime is 26562533633. The next prime is 26562533689. The reversal of 26562533664 is 46633526562.

It is a happy number.

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

It is a super-2 number, since 2×26562533664² (a number of 22 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, 1330347 + ... + 1350165.

It is an arithmetic number, because the mean of its divisors is an integer number (759185280).

Almost surely, 2^26562533664 is an apocalyptic number.

26562533664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26562533664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36440893440).

26562533664 is an abundant number, since it is smaller than the sum of its proper divisors (46319253216).

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

26562533664 is a wasteful number, since it uses less digits than its factorization.

26562533664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20462 (or 20454 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 48.

The spelling of 26562533664 in words is "twenty-six billion, five hundred sixty-two million, five hundred thirty-three thousand, six hundred sixty-four".