26885810952000 has 4480 divisors, whose sum is σ = 134869013959680. Its totient is φ = 5106032640000.

The previous prime is 26885810951929. The next prime is 26885810952019. The reversal of 26885810952000 is 25901858862.

It is a happy number.

26885810952000 is a `hidden beast` number, since 2 + 6 + 8 + 8 + 5 + 8 + 109 + 520 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 117405287886 + ... + 117405288114.

It is an arithmetic number, because the mean of its divisors is an integer number (30104690616).

Almost surely, 2^{26885810952000} is an apocalyptic number.

26885810952000 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 26885810952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67434506979840).

26885810952000 is an abundant number, since it is smaller than the sum of its proper divisors (107983203007680).

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

26885810952000 is a wasteful number, since it uses less digits than its factorization.

26885810952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 26885810952000 in words is "twenty-six trillion, eight hundred eighty-five billion, eight hundred ten million, nine hundred fifty-two thousand".