26172804000 has 1152 divisors, whose sum is σ = 111306424320. Its totient is φ = 5246208000.

The previous prime is 26172803999. The next prime is 26172804013. The reversal of 26172804000 is 40827162.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 844283985 + ... + 844284015.

It is an arithmetic number, because the mean of its divisors is an integer number (96620160).

Almost surely, 2^26172804000 is an apocalyptic number.

26172804000 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 26172804000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55653212160).

26172804000 is an abundant number, since it is smaller than the sum of its proper divisors (85133620320).

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

26172804000 is a wasteful number, since it uses less digits than its factorization.

26172804000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 26172804000 in words is "twenty-six billion, one hundred seventy-two million, eight hundred four thousand".