10082356838400 has 2880 divisors, whose sum is σ = 44822387183616. Its totient is φ = 1937768448000.

The previous prime is 10082356838371. The next prime is 10082356838401. The reversal of 10082356838400 is 483865328001.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10082356838400.

It is not an unprimeable number, because it can be changed into a prime (10082356838401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 89224396744 + ... + 89224396856.

Almost surely, 2^{10082356838400} is an apocalyptic number.

10082356838400 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 10082356838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22411193591808).

10082356838400 is an abundant number, since it is smaller than the sum of its proper divisors (34740030345216).

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

10082356838400 is a wasteful number, since it uses less digits than its factorization.

10082356838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 10082356838400 in words is "ten trillion, eighty-two billion, three hundred fifty-six million, eight hundred thirty-eight thousand, four hundred".