26671378000 has 40 divisors (see below), whose sum is σ = 64491396840. Its totient is φ = 10668550400.

The previous prime is 26671377983. The next prime is 26671378007. The reversal of 26671378000 is 87317662.

It can be written as a sum of positive squares in 4 ways, for example, as 7331469376 + 19339908624 = 85624^2 + 139068^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×26671378000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26671378007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6665845 + ... + 6669844.

It is an arithmetic number, because the mean of its divisors is an integer number (1612284921).

Almost surely, 2^26671378000 is an apocalyptic number.

26671378000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26671378000 is an abundant number, since it is smaller than the sum of its proper divisors (37820018840).

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

26671378000 is a wasteful number, since it uses less digits than its factorization.

26671378000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13335712 (or 13335696 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 26671378000 in words is "twenty-six billion, six hundred seventy-one million, three hundred seventy-eight thousand".