10632828518400 has 1536 divisors, whose sum is σ = 40941151027200. Its totient is φ = 2407897497600.

The previous prime is 10632828518387. The next prime is 10632828518401. The reversal of 10632828518400 is 481582823601.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×10632828518400² (a number of 27 digits) contains 22 as substring.

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 10632828518400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10632828518401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65232076719 + ... + 65232076881.

It is an arithmetic number, because the mean of its divisors is an integer number (26654395200).

Almost surely, 2^{10632828518400} is an apocalyptic number.

10632828518400 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 10632828518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20470575513600).

10632828518400 is an abundant number, since it is smaller than the sum of its proper divisors (30308322508800).

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

10632828518400 is a wasteful number, since it uses less digits than its factorization.

10632828518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 10632828518400 in words is "ten trillion, six hundred thirty-two billion, eight hundred twenty-eight million, five hundred eighteen thousand, four hundred".