18961300800 has 672 divisors, whose sum is σ = 78399843200. Its totient is φ = 4419256320.

The previous prime is 18961300777. The next prime is 18961300801. The reversal of 18961300800 is 800316981.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18961300801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10669512 + ... + 10671288.

Almost surely, 2^18961300800 is an apocalyptic number.

18961300800 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 18961300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39199921600).

18961300800 is an abundant number, since it is smaller than the sum of its proper divisors (59438542400).

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

18961300800 is a wasteful number, since it uses less digits than its factorization.

18961300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1840 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 18961300800 in words is "eighteen billion, nine hundred sixty-one million, three hundred thousand, eight hundred".