26320040570880 has 2496 divisors, whose sum is σ = 116952067814400. Its totient is φ = 5655883677696.

The previous prime is 26320040570827. The next prime is 26320040570881. The reversal of 26320040570880 is 8807504002362.

26320040570880 is a `hidden beast` number, since 2 + 6 + 32 + 0 + 0 + 40 + 570 + 8 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (26320040570881) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29018787387 + ... + 29018788293.

It is an arithmetic number, because the mean of its divisors is an integer number (46855796400).

Almost surely, 2^{26320040570880} is an apocalyptic number.

26320040570880 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 26320040570880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58476033907200).

26320040570880 is an abundant number, since it is smaller than the sum of its proper divisors (90632027243520).

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

26320040570880 is an frugal number, since it uses more digits than its factorization.

26320040570880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 26320040570880 in words is "twenty-six trillion, three hundred twenty billion, forty million, five hundred seventy thousand, eight hundred eighty".