10820452500 has 960 divisors, whose sum is σ = 44085888000. Its totient is φ = 2255040000.

The previous prime is 10820452483. The next prime is 10820452501. The reversal of 10820452500 is 525402801.

It is a happy number.

10820452500 is a `hidden beast` number, since 108 + 2 + 0 + 4 + 52 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10820452501) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 183397471 + ... + 183397529.

It is an arithmetic number, because the mean of its divisors is an integer number (45922800).

Almost surely, 2^10820452500 is an apocalyptic number.

10820452500 is a gapful number since it is divisible by the number (10) 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 10820452500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22042944000).

10820452500 is an abundant number, since it is smaller than the sum of its proper divisors (33265435500).

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

10820452500 is a wasteful number, since it uses less digits than its factorization.

10820452500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 10820452500 in words is "ten billion, eight hundred twenty million, four hundred fifty-two thousand, five hundred".