10164782363800 has 48 divisors (see below), whose sum is σ = 23722978886640. Its totient is φ = 4050453179520.

The previous prime is 10164782363767. The next prime is 10164782363809. The reversal of 10164782363800 is 836328746101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10164782363809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96570807 + ... + 96676006.

It is an arithmetic number, because the mean of its divisors is an integer number (494228726805).

Almost surely, 2^{10164782363800} is an apocalyptic number.

10164782363800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10164782363800 is an abundant number, since it is smaller than the sum of its proper divisors (13558196522840).

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

10164782363800 is a wasteful number, since it uses less digits than its factorization.

10164782363800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193247092 (or 193247083 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The spelling of 10164782363800 in words is "ten trillion, one hundred sixty-four billion, seven hundred eighty-two million, three hundred sixty-three thousand, eight hundred".