10455212320000 has 540 divisors, whose sum is σ = 30460277356740. Its totient is φ = 3570008064000.

The previous prime is 10455212319971. The next prime is 10455212320001. The reversal of 10455212320000 is 2321255401.

It can be written as a sum of positive squares in 10 ways, for example, as 3182827266304 + 7272385053696 = 1784048^2 + 2696736^2 .

It is a super-2 number, since 2×10455212320000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10455212320001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2014877406 + ... + 2014882594.

It is an arithmetic number, because the mean of its divisors is an integer number (56407921031).

Almost surely, 2^{10455212320000} is an apocalyptic number.

10455212320000 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 10455212320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15230138678370).

10455212320000 is an abundant number, since it is smaller than the sum of its proper divisors (20005065036740).

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

10455212320000 is an frugal number, since it uses more digits than its factorization.

10455212320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5496 (or 5460 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 10455212320000 its reverse (2321255401), we get a palindrome (10457533575401).

The spelling of 10455212320000 in words is "ten trillion, four hundred fifty-five billion, two hundred twelve million, three hundred twenty thousand".