820119945600 has 1152 divisors, whose sum is σ = 3126673630080. Its totient is φ = 212203929600.

The previous prime is 820119945581. The next prime is 820119945661. The reversal of 820119945600 is 6549911028.

820119945600 is a `hidden beast` number, since 8 + 2 + 0 + 1 + 199 + 456 + 0 + 0 = 666.

820119945600 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 (1152).

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

It is a congruent number.

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, 6260457535 + ... + 6260457665.

It is an arithmetic number, because the mean of its divisors is an integer number (2714126415).

Almost surely, 2^820119945600 is an apocalyptic number.

820119945600 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 820119945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563336815040).

820119945600 is an abundant number, since it is smaller than the sum of its proper divisors (2306553684480).

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

820119945600 is a wasteful number, since it uses less digits than its factorization.

820119945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 820119945600 in words is "eight hundred twenty billion, one hundred nineteen million, nine hundred forty-five thousand, six hundred".