15853420800 has 972 divisors, whose sum is σ = 68034497076. Its totient is φ = 3509452800.

The previous prime is 15853420799. The next prime is 15853420813. The reversal of 15853420800 is 802435851.

It is a happy number.

15853420800 is a `hidden beast` number, since 158 + 5 + 3 + 420 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2181263616 + 13672157184 = 46704^2 + 116928^2 .

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 107 ways as a sum of consecutive naturals, for example, 115718332 + ... + 115718468.

Almost surely, 2^15853420800 is an apocalyptic number.

15853420800 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 15853420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34017248538).

15853420800 is an abundant number, since it is smaller than the sum of its proper divisors (52181076276).

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

15853420800 is a wasteful number, since it uses less digits than its factorization.

15853420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 15853420800 in words is "fifteen billion, eight hundred fifty-three million, four hundred twenty thousand, eight hundred".