8219542500 has 960 divisors, whose sum is σ = 33064416000. Its totient is φ = 1741824000.

The previous prime is 8219542421. The next prime is 8219542543. The reversal of 8219542500 is 52459128.

8219542500 is a `hidden beast` number, since 8 + 21 + 95 + 42 + 500 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 283432486 + ... + 283432514.

It is an arithmetic number, because the mean of its divisors is an integer number (34442100).

Almost surely, 2^8219542500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8219542500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16532208000).

8219542500 is an abundant number, since it is smaller than the sum of its proper divisors (24844873500).

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

8219542500 is a wasteful number, since it uses less digits than its factorization.

8219542500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 8219542500 is about 90661.6925718906. The cubic root of 8219542500 is about 2018.1303567793.

The spelling of 8219542500 in words is "eight billion, two hundred nineteen million, five hundred forty-two thousand, five hundred".