26619405780240 has 1440 divisors, whose sum is σ = 114043715735040. Its totient is φ = 5418373201920.

The previous prime is 26619405780223. The next prime is 26619405780277. The reversal of 26619405780240 is 4208750491662.

26619405780240 is a `hidden beast` number, since 2 + 6 + 6 + 1 + 9 + 40 + 578 + 0 + 24 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 35826925309 + ... + 35826926051.

It is an arithmetic number, because the mean of its divisors is an integer number (79197024816).

Almost surely, 2^{26619405780240} is an apocalyptic number.

26619405780240 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 26619405780240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57021857867520).

26619405780240 is an abundant number, since it is smaller than the sum of its proper divisors (87424309954800).

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

26619405780240 is a wasteful number, since it uses less digits than its factorization.

26619405780240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 26619405780240 in words is "twenty-six trillion, six hundred nineteen billion, four hundred five million, seven hundred eighty thousand, two hundred forty".