26466154453200 has 1440 divisors, whose sum is σ = 108053380141056. Its totient is φ = 5419814400000.

The previous prime is 26466154453187. The next prime is 26466154453201. The reversal of 26466154453200 is 235445166462.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 26466154453200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26466154453201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 29051760745 + ... + 29051761655.

Almost surely, 2^{26466154453200} is an apocalyptic number.

26466154453200 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 26466154453200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54026690070528).

26466154453200 is an abundant number, since it is smaller than the sum of its proper divisors (81587225687856).

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

26466154453200 is a wasteful number, since it uses less digits than its factorization.

26466154453200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 26466154453200 in words is "twenty-six trillion, four hundred sixty-six billion, one hundred fifty-four million, four hundred fifty-three thousand, two hundred".