10882028462400 has 840 divisors, whose sum is σ = 40430424682296. Its totient is φ = 2870791372800.

The previous prime is 10882028462387. The next prime is 10882028462429. The reversal of 10882028462400 is 426482028801.

10882028462400 is a `hidden beast` number, since 10 + 8 + 8 + 2 + 0 + 2 + 8 + 4 + 624 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1438502789376 + 9443525673024 = 1199376^2 + 3073032^2 .

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 119 ways as a sum of consecutive naturals, for example, 5229229360 + ... + 5229231440.

Almost surely, 2^{10882028462400} is an apocalyptic number.

10882028462400 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 10882028462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20215212341148).

10882028462400 is an abundant number, since it is smaller than the sum of its proper divisors (29548396219896).

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

10882028462400 is a wasteful number, since it uses less digits than its factorization.

10882028462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2529 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 10882028462400 in words is "ten trillion, eight hundred eighty-two billion, twenty-eight million, four hundred sixty-two thousand, four hundred".