27453728400 has 720 divisors, whose sum is σ = 109665076224. Its totient is φ = 5746728960.

The previous prime is 27453728389. The next prime is 27453728413. The reversal of 27453728400 is 482735472.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 104386669 + ... + 104386931.

Almost surely, 2^27453728400 is an apocalyptic number.

27453728400 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 27453728400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54832538112).

27453728400 is an abundant number, since it is smaller than the sum of its proper divisors (82211347824).

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

27453728400 is a wasteful number, since it uses less digits than its factorization.

27453728400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 27453728400 in words is "twenty-seven billion, four hundred fifty-three million, seven hundred twenty-eight thousand, four hundred".