26032346252640 has 768 divisors, whose sum is σ = 116006262220800. Its totient is φ = 5303138770944.

The previous prime is 26032346252593. The next prime is 26032346252659. The reversal of 26032346252640 is 4625264323062.

26032346252640 is a `hidden beast` number, since 2 + 6 + 0 + 3 + 23 + 4 + 62 + 526 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10258759 + ... + 12542201.

It is an arithmetic number, because the mean of its divisors is an integer number (151049820600).

Almost surely, 2^{26032346252640} is an apocalyptic number.

26032346252640 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 26032346252640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58003131110400).

26032346252640 is an abundant number, since it is smaller than the sum of its proper divisors (89973915968160).

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

26032346252640 is a wasteful number, since it uses less digits than its factorization.

26032346252640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2283516 (or 2283502 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

The spelling of 26032346252640 in words is "twenty-six trillion, thirty-two billion, three hundred forty-six million, two hundred fifty-two thousand, six hundred forty".