828540518400 has 1224 divisors, whose sum is σ = 3549612393600. Its totient is φ = 180627701760.

The previous prime is 828540518381. The next prime is 828540518411. The reversal of 828540518400 is 4815045828.

828540518400 is a `hidden beast` number, since 8 + 28 + 540 + 5 + 1 + 84 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2374041426 + ... + 2374041774.

Almost surely, 2^828540518400 is an apocalyptic number.

828540518400 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 828540518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774806196800).

828540518400 is an abundant number, since it is smaller than the sum of its proper divisors (2721071875200).

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

828540518400 is a wasteful number, since it uses less digits than its factorization.

828540518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The spelling of 828540518400 in words is "eight hundred twenty-eight billion, five hundred forty million, five hundred eighteen thousand, four hundred".