10000061882400 has 144 divisors (see below), whose sum is σ = 32555299140000. Its totient is φ = 2666265538560.

The previous prime is 10000061882381. The next prime is 10000061882413. The reversal of 10000061882400 is 428816000001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 15154551 + ... + 15800649.

It is an arithmetic number, because the mean of its divisors is an integer number (226078466250).

Almost surely, 2^{10000061882400} is an apocalyptic number.

10000061882400 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 10000061882400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16277649570000).

10000061882400 is an abundant number, since it is smaller than the sum of its proper divisors (22555237257600).

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

10000061882400 is a wasteful number, since it uses less digits than its factorization.

10000061882400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652571 (or 652558 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

Adding to 10000061882400 its reverse (428816000001), we get a palindrome (10428877882401).

The spelling of 10000061882400 in words is "ten trillion, sixty-one million, eight hundred eighty-two thousand, four hundred".