10010472012800 has 1320 divisors, whose sum is σ = 30935823584736. Its totient is φ = 3204584570880.

The previous prime is 10010472012799. The next prime is 10010472012809. The reversal of 10010472012800 is 821027401001.

It is a self number, because there is not a number n which added to its sum of digits gives 10010472012800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010472012809) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 103200742352 + ... + 103200742448.

Almost surely, 2^{10010472012800} is an apocalyptic number.

10010472012800 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 10010472012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15467911792368).

10010472012800 is an abundant number, since it is smaller than the sum of its proper divisors (20925351571936).

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

10010472012800 is an frugal number, since it uses more digits than its factorization.

10010472012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

Adding to 10010472012800 its reverse (821027401001), we get a palindrome (10831499413801).

The spelling of 10010472012800 in words is "ten trillion, ten billion, four hundred seventy-two million, twelve thousand, eight hundred".