5426676291600 has 420 divisors, whose sum is σ = 20075791753476. Its totient is φ = 1407999697920.

The previous prime is 5426676291593. The next prime is 5426676291611. The reversal of 5426676291600 is 61926766245.

5426676291600 is a `hidden beast` number, since 5 + 4 + 2 + 6 + 6 + 7 + 6 + 29 + 1 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 74542104576 + 5352134187024 = 273024^2 + 2313468^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 10537714 + ... + 11040686.

Almost surely, 2^{5426676291600} is an apocalyptic number.

5426676291600 is a gapful number since it is divisible by the number (50) 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 5426676291600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10037895876738).

5426676291600 is an abundant number, since it is smaller than the sum of its proper divisors (14649115461876).

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

5426676291600 is a wasteful number, since it uses less digits than its factorization.

5426676291600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503046 (or 503020 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 5426676291600 in words is "five trillion, four hundred twenty-six billion, six hundred seventy-six million, two hundred ninety-one thousand, six hundred".