26272995840 has 640 divisors, whose sum is σ = 114887646720. Its totient is φ = 5541986304.

The previous prime is 26272995809. The next prime is 26272995851. The reversal of 26272995840 is 4859927262.

26272995840 is a `hidden beast` number, since 2 + 627 + 2 + 9 + 9 + 5 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 6287832 + ... + 6292008.

It is an arithmetic number, because the mean of its divisors is an integer number (179511948).

Almost surely, 2^26272995840 is an apocalyptic number.

26272995840 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 26272995840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57443823360).

26272995840 is an abundant number, since it is smaller than the sum of its proper divisors (88614650880).

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

26272995840 is a wasteful number, since it uses less digits than its factorization.

26272995840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4229 (or 4207 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 26272995840 in words is "twenty-six billion, two hundred seventy-two million, nine hundred ninety-five thousand, eight hundred forty".