27506463846400 has 312 divisors, whose sum is σ = 85038199778304. Its totient is φ = 8573440819200.

The previous prime is 27506463846397. The next prime is 27506463846401. The reversal of 27506463846400 is 464836460572.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (27506463846401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6140529 + ... + 9629071.

Almost surely, 2^{27506463846400} is an apocalyptic number.

27506463846400 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 27506463846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42519099889152).

27506463846400 is an abundant number, since it is smaller than the sum of its proper divisors (57531735931904).

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

27506463846400 is a wasteful number, since it uses less digits than its factorization.

27506463846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3488595 (or 3488568 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 55.

The spelling of 27506463846400 in words is "twenty-seven trillion, five hundred six billion, four hundred sixty-three million, eight hundred forty-six thousand, four hundred".