21398176800 has 864 divisors, whose sum is σ = 101344763520. Its totient is φ = 4102963200.

The previous prime is 21398176783. The next prime is 21398176823. The reversal of 21398176800 is 867189312.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7205716 + ... + 7208684.

It is an arithmetic number, because the mean of its divisors is an integer number (117297180).

Almost surely, 2^21398176800 is an apocalyptic number.

21398176800 is a gapful number since it is divisible by the number (20) 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 21398176800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50672381760).

21398176800 is an abundant number, since it is smaller than the sum of its proper divisors (79946586720).

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

21398176800 is a wasteful number, since it uses less digits than its factorization.

21398176800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3026 (or 3010 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 21398176800 in words is "twenty-one billion, three hundred ninety-eight million, one hundred seventy-six thousand, eight hundred".