8285013062400 has 432 divisors, whose sum is σ = 28299923688960. Its totient is φ = 2132035584000.

The previous prime is 8285013062363. The next prime is 8285013062413. The reversal of 8285013062400 is 42603105828.

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, 1861380175 + ... + 1861384625.

Almost surely, 2^{8285013062400} is an apocalyptic number.

8285013062400 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 8285013062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14149961844480).

8285013062400 is an abundant number, since it is smaller than the sum of its proper divisors (20014910626560).

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

8285013062400 is a wasteful number, since it uses less digits than its factorization.

8285013062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7852 (or 7833 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 8285013062400 in words is "eight trillion, two hundred eighty-five billion, thirteen million, sixty-two thousand, four hundred".