26499428928000 has 2160 divisors, whose sum is σ = 114843532693032. Its totient is φ = 5855625216000.

The previous prime is 26499428927953. The next prime is 26499428928017. The reversal of 26499428928000 is 82982499462.

26499428928000 is a `hidden beast` number, since 2 + 6 + 49 + 9 + 428 + 92 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14612821219584 + 11886607708416 = 3822672^2 + 3447696^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 27123263512 + ... + 27123264488.

Almost surely, 2^{26499428928000} is an apocalyptic number.

26499428928000 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 26499428928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57421766346516).

26499428928000 is an abundant number, since it is smaller than the sum of its proper divisors (88344103765032).

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

26499428928000 is an equidigital number, since it uses as much as digits as its factorization.

26499428928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 26499428928000 in words is "twenty-six trillion, four hundred ninety-nine billion, four hundred twenty-eight million, nine hundred twenty-eight thousand".