26725492379040 has 1152 divisors, whose sum is σ = 105082500096000. Its totient is φ = 5590314123264.

The previous prime is 26725492379039. The next prime is 26725492379041. The reversal of 26725492379040 is 4097329452762.

It is an interprime number because it is at equal distance from previous prime (26725492379039) and next prime (26725492379041).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (26725492379041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53558100711 + ... + 53558101209.

It is an arithmetic number, because the mean of its divisors is an integer number (91217448000).

Almost surely, 2^{26725492379040} is an apocalyptic number.

26725492379040 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 26725492379040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52541250048000).

26725492379040 is an abundant number, since it is smaller than the sum of its proper divisors (78357007716960).

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

26725492379040 is a wasteful number, since it uses less digits than its factorization.

26725492379040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 60.

The spelling of 26725492379040 in words is "twenty-six trillion, seven hundred twenty-five billion, four hundred ninety-two million, three hundred seventy-nine thousand, forty".