9952206810 has 256 divisors, whose sum is σ = 31856799744. Its totient is φ = 1929940992.

The previous prime is 9952206787. The next prime is 9952206833. The reversal of 9952206810 is 186022599.

It is an interprime number because it is at equal distance from previous prime (9952206787) and next prime (9952206833).

It is a super-2 number, since 2×9952206810² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1993137 + ... + 1998123.

It is an arithmetic number, because the mean of its divisors is an integer number (124440624).

Almost surely, 2^9952206810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9952206810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15928399872).

9952206810 is an abundant number, since it is smaller than the sum of its proper divisors (21904592934).

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

9952206810 is a wasteful number, since it uses less digits than its factorization.

9952206810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5077.

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 9952206810 is about 99760.7478420245. The cubic root of 9952206810 is about 2150.9969639888.

The spelling of 9952206810 in words is "nine billion, nine hundred fifty-two million, two hundred six thousand, eight hundred ten".