27802697750400 has 384 divisors, whose sum is σ = 96410665036800. Its totient is φ = 7022689320960.

The previous prime is 27802697750327. The next prime is 27802697750497. The reversal of 27802697750400 is 405779620872.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1943829649 + ... + 1943843951.

It is an arithmetic number, because the mean of its divisors is an integer number (251069440200).

Almost surely, 2^{27802697750400} is an apocalyptic number.

27802697750400 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 27802697750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48205332518400).

27802697750400 is an abundant number, since it is smaller than the sum of its proper divisors (68607967286400).

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

27802697750400 is a wasteful number, since it uses less digits than its factorization.

27802697750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25006 (or 24989 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 57.

The spelling of 27802697750400 in words is "twenty-seven trillion, eight hundred two billion, six hundred ninety-seven million, seven hundred fifty thousand, four hundred".