26472108960 has 864 divisors, whose sum is σ = 109359222336. Its totient is φ = 6021734400.

The previous prime is 26472108937. The next prime is 26472108961. The reversal of 26472108960 is 6980127462.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×26472108960² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26472108961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 79975995 + ... + 79976325.

It is an arithmetic number, because the mean of its divisors is an integer number (126573174).

Almost surely, 2^26472108960 is an apocalyptic number.

26472108960 is a gapful number since it is divisible by the number (20) 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 26472108960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54679611168).

26472108960 is an abundant number, since it is smaller than the sum of its proper divisors (82887113376).

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

26472108960 is a wasteful number, since it uses less digits than its factorization.

26472108960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 26472108960 in words is "twenty-six billion, four hundred seventy-two million, one hundred eight thousand, nine hundred sixty".