26400855690 has 240 divisors, whose sum is σ = 78862008456. Its totient is φ = 6331944960.

The previous prime is 26400855589. The next prime is 26400855697. The reversal of 26400855690 is 9655800462.

26400855690 is a `hidden beast` number, since 2 + 6 + 4 + 0 + 0 + 8 + 556 + 90 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15982774929 + 10418080761 = 126423^2 + 102069^2 .

It is a super-2 number, since 2×26400855690² (a number of 22 digits) contains 22 as substring.

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 (26400855697) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9505582 + ... + 9508358.

Almost surely, 2^26400855690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26400855690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39431004228).

26400855690 is an abundant number, since it is smaller than the sum of its proper divisors (52461152766).

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

26400855690 is a wasteful number, since it uses less digits than its factorization.

26400855690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2915 (or 2895 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 26400855690 in words is "twenty-six billion, four hundred million, eight hundred fifty-five thousand, six hundred ninety".