26415514260 has 288 divisors, whose sum is σ = 91814591232. Its totient is φ = 6341068800.

The previous prime is 26415514247. The next prime is 26415514273. The reversal of 26415514260 is 6241551462.

26415514260 is a `hidden beast` number, since 2 + 6 + 4 + 1 + 551 + 42 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (26415514247) and next prime (26415514273).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1893310 + ... + 1907210.

It is an arithmetic number, because the mean of its divisors is an integer number (318800664).

Almost surely, 2^26415514260 is an apocalyptic number.

26415514260 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 26415514260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45907295616).

26415514260 is an abundant number, since it is smaller than the sum of its proper divisors (65399076972).

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

26415514260 is a wasteful number, since it uses less digits than its factorization.

26415514260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13965 (or 13951 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 26415514260 in words is "twenty-six billion, four hundred fifteen million, five hundred fourteen thousand, two hundred sixty".