26440690500 has 288 divisors, whose sum is σ = 98406217728. Its totient is φ = 5848416000.

The previous prime is 26440690489. The next prime is 26440690511. The reversal of 26440690500 is 509604462.

26440690500 is a `hidden beast` number, since 2 + 64 + 4 + 0 + 6 + 90 + 500 = 666.

It is an interprime number because it is at equal distance from previous prime (26440690489) and next prime (26440690511).

It is a super-2 number, since 2×26440690500² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 962962 + ... + 990038.

It is an arithmetic number, because the mean of its divisors is an integer number (341688256).

Almost surely, 2^26440690500 is an apocalyptic number.

26440690500 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 26440690500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49203108864).

26440690500 is an abundant number, since it is smaller than the sum of its proper divisors (71965527228).

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

26440690500 is a wasteful number, since it uses less digits than its factorization.

26440690500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27140 (or 27125 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 26440690500 in words is "twenty-six billion, four hundred forty million, six hundred ninety thousand, five hundred".