26456360486400 has 4800 divisors, whose sum is σ = 120680700940800. Its totient is φ = 5652826030080.

The previous prime is 26456360486371. The next prime is 26456360486429. The reversal of 26456360486400 is 468406365462.

26456360486400 is a `hidden beast` number, since 2 + 6 + 4 + 5 + 63 + 60 + 486 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26456360486371) and next prime (26456360486429).

It is a tau number, because it is divible by the number of its divisors (4800).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 256857868749 + ... + 256857868851.

It is an arithmetic number, because the mean of its divisors is an integer number (25141812696).

Almost surely, 2^{26456360486400} is an apocalyptic number.

26456360486400 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 26456360486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60340350470400).

26456360486400 is an abundant number, since it is smaller than the sum of its proper divisors (94224340454400).

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

26456360486400 is a wasteful number, since it uses less digits than its factorization.

26456360486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 26456360486400 in words is "twenty-six trillion, four hundred fifty-six billion, three hundred sixty million, four hundred eighty-six thousand, four hundred".