26199280947840 has 3072 divisors, whose sum is σ = 118060404940800. Its totient is φ = 4802789376000.

The previous prime is 26199280947803. The next prime is 26199280947899. The reversal of 26199280947840 is 4874908299162.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 92576964339 + ... + 92576964621.

It is an arithmetic number, because the mean of its divisors is an integer number (38431121400).

Almost surely, 2^{26199280947840} is an apocalyptic number.

26199280947840 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 26199280947840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59030202470400).

26199280947840 is an abundant number, since it is smaller than the sum of its proper divisors (91861123992960).

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

26199280947840 is a wasteful number, since it uses less digits than its factorization.

26199280947840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 69.

The spelling of 26199280947840 in words is "twenty-six trillion, one hundred ninety-nine billion, two hundred eighty million, nine hundred forty-seven thousand, eight hundred forty".