26615796480000 has 5400 divisors, whose sum is σ = 129171360558240. Its totient is φ = 5434490880000.

The previous prime is 26615796479959. The next prime is 26615796480059. The reversal of 26615796480000 is 8469751662.

26615796480000 is a `hidden beast` number, since 2 + 6 + 6 + 1 + 579 + 64 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5400).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 449 ways as a sum of consecutive naturals, for example, 858574079985 + ... + 858574080015.

Almost surely, 2^{26615796480000} is an apocalyptic number.

26615796480000 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 26615796480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64585680279120).

26615796480000 is an abundant number, since it is smaller than the sum of its proper divisors (102555564078240).

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

26615796480000 is an equidigital number, since it uses as much as digits as its factorization.

26615796480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 26615796480000 in words is "twenty-six trillion, six hundred fifteen billion, seven hundred ninety-six million, four hundred eighty thousand".