8501282400 has 144 divisors (see below), whose sum is σ = 29800373904. Its totient is φ = 2092615680.

The previous prime is 8501282399. The next prime is 8501282417. The reversal of 8501282400 is 42821058.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105039 + ... + 167438.

It is an arithmetic number, because the mean of its divisors is an integer number (206947041).

Almost surely, 2^8501282400 is an apocalyptic number.

8501282400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8501282400 is an abundant number, since it is smaller than the sum of its proper divisors (21299091504).

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

8501282400 is a wasteful number, since it uses less digits than its factorization.

8501282400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272513 (or 272500 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 8501282400 is about 92202.3991011080. The cubic root of 8501282400 is about 2040.9301794153.

The spelling of 8501282400 in words is "eight billion, five hundred one million, two hundred eighty-two thousand, four hundred".