26000786972160 has 3840 divisors, whose sum is σ = 126395110195200. Its totient is φ = 4929501265920.

The previous prime is 26000786972143. The next prime is 26000786972183. The reversal of 26000786972160 is 6127968700062.

26000786972160 is a `hidden beast` number, since 2 + 600 + 0 + 7 + 8 + 6 + 9 + 7 + 21 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a junction number, because it is equal to n+sod(n) for n = 26000786972097 and 26000786972106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 96657200506 + ... + 96657200774.

It is an arithmetic number, because the mean of its divisors is an integer number (32915393280).

Almost surely, 2^{26000786972160} is an apocalyptic number.

26000786972160 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 26000786972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63197555097600).

26000786972160 is an abundant number, since it is smaller than the sum of its proper divisors (100394323223040).

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

26000786972160 is a wasteful number, since it uses less digits than its factorization.

26000786972160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 26000786972160 in words is "twenty-six trillion, seven hundred eighty-six million, nine hundred seventy-two thousand, one hundred sixty".