821053094400 has 1440 divisors, whose sum is σ = 3740104368000. Its totient is φ = 170518118400.

The previous prime is 821053094377. The next prime is 821053094417. The reversal of 821053094400 is 4490350128.

821053094400 is a `hidden beast` number, since 8 + 210 + 5 + 30 + 9 + 4 + 400 = 666.

821053094400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×821053094400² (a number of 25 digits) contains 22 as substring.

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

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, 434648656 + ... + 434650544.

It is an arithmetic number, because the mean of its divisors is an integer number (2597294700).

Almost surely, 2^821053094400 is an apocalyptic number.

821053094400 is a gapful number since it is divisible by the number (80) 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 821053094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870052184000).

821053094400 is an abundant number, since it is smaller than the sum of its proper divisors (2919051273600).

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

821053094400 is a wasteful number, since it uses less digits than its factorization.

821053094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 821053094400 in words is "eight hundred twenty-one billion, fifty-three million, ninety-four thousand, four hundred".