26988102070272 has 1040 divisors, whose sum is σ = 96079093228800. Its totient is φ = 7388009201664.

The previous prime is 26988102070261. The next prime is 26988102070277. The reversal of 26988102070272 is 27207020188962.

26988102070272 is a `hidden beast` number, since 2 + 6 + 98 + 81 + 0 + 207 + 0 + 272 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (26988102070277) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5292819979 + ... + 5292825077.

Almost surely, 2^{26988102070272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26988102070272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48039546614400).

26988102070272 is an abundant number, since it is smaller than the sum of its proper divisors (69090991158528).

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

26988102070272 is an equidigital number, since it uses as much as digits as its factorization.

26988102070272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5238 (or 5207 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 26988102070272 in words is "twenty-six trillion, nine hundred eighty-eight billion, one hundred two million, seventy thousand, two hundred seventy-two".