845527082400 has 3456 divisors, whose sum is σ = 4343697985536. Its totient is φ = 148901068800.

The previous prime is 845527082377. The next prime is 845527082423. The reversal of 845527082400 is 4280725548.

845527082400 is a `hidden beast` number, since 8 + 4 + 5 + 527 + 0 + 82 + 40 + 0 = 666.

845527082400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (845527082377) and next prime (845527082423).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 8209000749 + ... + 8209000851.

It is an arithmetic number, because the mean of its divisors is an integer number (1256857056).

Almost surely, 2^845527082400 is an apocalyptic number.

845527082400 is a gapful number since it is divisible by the number (80) 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 845527082400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2171848992768).

845527082400 is an abundant number, since it is smaller than the sum of its proper divisors (3498170903136).

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

845527082400 is a wasteful number, since it uses less digits than its factorization.

845527082400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 845527082400 in words is "eight hundred forty-five billion, five hundred twenty-seven million, eighty-two thousand, four hundred".