26120263680 has 576 divisors, whose sum is σ = 108957139200. Its totient is φ = 5653463040.

The previous prime is 26120263643. The next prime is 26120263691. The reversal of 26120263680 is 8636202162.

26120263680 is a `hidden beast` number, since 2 + 6 + 12 + 0 + 2 + 636 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 47 ways as a sum of consecutive naturals, for example, 12256215 + ... + 12258345.

It is an arithmetic number, because the mean of its divisors is an integer number (189161700).

Almost surely, 2^26120263680 is an apocalyptic number.

26120263680 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 26120263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54478569600).

26120263680 is an abundant number, since it is smaller than the sum of its proper divisors (82836875520).

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

26120263680 is a wasteful number, since it uses less digits than its factorization.

26120263680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 26120263680 in words is "twenty-six billion, one hundred twenty million, two hundred sixty-three thousand, six hundred eighty".