10060525340800 has 384 divisors, whose sum is σ = 27768340480320. Its totient is φ = 3569965056000.

The previous prime is 10060525340797. The next prime is 10060525340807. The reversal of 10060525340800 is 804352506001.

It is a super-2 number, since 2×10060525340800² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10060525340807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2090279194 + ... + 2090284006.

Almost surely, 2^{10060525340800} is an apocalyptic number.

10060525340800 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 10060525340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13884170240160).

10060525340800 is an abundant number, since it is smaller than the sum of its proper divisors (17707815139520).

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

10060525340800 is a wasteful number, since it uses less digits than its factorization.

10060525340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6272 (or 6255 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

Adding to 10060525340800 its reverse (804352506001), we get a palindrome (10864877846801).

The spelling of 10060525340800 in words is "ten trillion, sixty billion, five hundred twenty-five million, three hundred forty thousand, eight hundred".