26400956153320 has 64 divisors (see below), whose sum is σ = 70839832677120. Its totient is φ = 8658201767424.

The previous prime is 26400956153279. The next prime is 26400956153321. The reversal of 26400956153320 is 2335165900462.

26400956153320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (26400956153321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2049757237 + ... + 2049770116.

It is an arithmetic number, because the mean of its divisors is an integer number (1106872385580).

Almost surely, 2^{26400956153320} is an apocalyptic number.

26400956153320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26400956153320 is an abundant number, since it is smaller than the sum of its proper divisors (44438876523800).

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

26400956153320 is a wasteful number, since it uses less digits than its factorization.

26400956153320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4099527394 (or 4099527390 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 46.

The spelling of 26400956153320 in words is "twenty-six trillion, four hundred billion, nine hundred fifty-six million, one hundred fifty-three thousand, three hundred twenty".