26215413120 has 384 divisors, whose sum is σ = 99878032800. Its totient is φ = 6294896640.

The previous prime is 26215413101. The next prime is 26215413121. The reversal of 26215413120 is 2131451262.

26215413120 is a `hidden beast` number, since 2 + 621 + 5 + 4 + 1 + 31 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26215413121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3065811 + ... + 3074349.

Almost surely, 2^26215413120 is an apocalyptic number.

26215413120 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 26215413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49939016400).

26215413120 is an abundant number, since it is smaller than the sum of its proper divisors (73662619680).

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

26215413120 is a wasteful number, since it uses less digits than its factorization.

26215413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8618 (or 8603 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 26215413120 its reverse (2131451262), we get a palindrome (28346864382).

The spelling of 26215413120 in words is "twenty-six billion, two hundred fifteen million, four hundred thirteen thousand, one hundred twenty".