26332271970480 has 1920 divisors, whose sum is σ = 111566287872000. Its totient is φ = 5684268441600.

The previous prime is 26332271970457. The next prime is 26332271970503. The reversal of 26332271970480 is 8407917223362.

It is a happy number.

26332271970480 is a `hidden beast` number, since 2 + 6 + 3 + 3 + 2 + 2 + 71 + 97 + 0 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (26332271970457) and next prime (26332271970503).

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

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, 29821372119 + ... + 29821373001.

It is an arithmetic number, because the mean of its divisors is an integer number (58107441600).

Almost surely, 2^{26332271970480} is an apocalyptic number.

26332271970480 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 26332271970480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55783143936000).

26332271970480 is an abundant number, since it is smaller than the sum of its proper divisors (85234015901520).

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

26332271970480 is a wasteful number, since it uses less digits than its factorization.

26332271970480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 26332271970480 in words is "twenty-six trillion, three hundred thirty-two billion, two hundred seventy-one million, nine hundred seventy thousand, four hundred eighty".