27759906770400 has 2160 divisors, whose sum is σ = 120103567879680. Its totient is φ = 6238328140800.

The previous prime is 27759906770363. The next prime is 27759906770419. The reversal of 27759906770400 is 407760995772.

27759906770400 is a `hidden beast` number, since 2 + 7 + 75 + 9 + 90 + 6 + 7 + 70 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×27759906770400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 77325645421 + ... + 77325645779.

It is an arithmetic number, because the mean of its divisors is an integer number (55603503648).

Almost surely, 2^{27759906770400} is an apocalyptic number.

27759906770400 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 27759906770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60051783939840).

27759906770400 is an abundant number, since it is smaller than the sum of its proper divisors (92343661109280).

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

27759906770400 is an frugal number, since it uses more digits than its factorization.

27759906770400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 46675440, while the sum is 63.

The spelling of 27759906770400 in words is "twenty-seven trillion, seven hundred fifty-nine billion, nine hundred six million, seven hundred seventy thousand, four hundred".