26223575040 has 760 divisors, whose sum is σ = 106577061360. Its totient is φ = 6115295232.

The previous prime is 26223575023. The next prime is 26223575083. The reversal of 26223575040 is 4057532262.

26223575040 is a `hidden beast` number, since 2 + 62 + 23 + 575 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (760).

It is a super-2 number, since 2×26223575040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26223574986 and 26223575004.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1380188151 + ... + 1380188169.

Almost surely, 2^26223575040 is an apocalyptic number.

26223575040 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 26223575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53288530680).

26223575040 is an abundant number, since it is smaller than the sum of its proper divisors (80353486320).

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

26223575040 is an frugal number, since it uses more digits than its factorization.

26223575040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 26223575040 in words is "twenty-six billion, two hundred twenty-three million, five hundred seventy-five thousand, forty".