8053547040 has 1152 divisors, whose sum is σ = 37066014720. Its totient is φ = 1596672000.

The previous prime is 8053546979. The next prime is 8053547059. The reversal of 8053547040 is 407453508.

8053547040 is a `hidden beast` number, since 80 + 535 + 4 + 7 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8053546986 and 8053547004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 113430205 + ... + 113430275.

It is an arithmetic number, because the mean of its divisors is an integer number (32175360).

Almost surely, 2^8053547040 is an apocalyptic number.

8053547040 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 8053547040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18533007360).

8053547040 is an abundant number, since it is smaller than the sum of its proper divisors (29012467680).

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

8053547040 is a wasteful number, since it uses less digits than its factorization.

8053547040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 8053547040 is about 89741.5569287719. The cubic root of 8053547040 is about 2004.4523343378.

The spelling of 8053547040 in words is "eight billion, fifty-three million, five hundred forty-seven thousand, forty".