26993900160 has 512 divisors, whose sum is σ = 103629715200. Its totient is φ = 6614286336.

The previous prime is 26993900149. The next prime is 26993900183. The reversal of 26993900160 is 6100939962.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 12630612 + ... + 12632748.

Almost surely, 2^26993900160 is an apocalyptic number.

26993900160 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 26993900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51814857600).

26993900160 is an abundant number, since it is smaller than the sum of its proper divisors (76635815040).

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

26993900160 is a wasteful number, since it uses less digits than its factorization.

26993900160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 26993900160 in words is "twenty-six billion, nine hundred ninety-three million, nine hundred thousand, one hundred sixty".