10006152321400 has 96 divisors (see below), whose sum is σ = 23333872250880. Its totient is φ = 3990510000000.

The previous prime is 10006152321349. The next prime is 10006152321449. The reversal of 10006152321400 is 412325160001.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91116525 + ... + 91226275.

It is an arithmetic number, because the mean of its divisors is an integer number (243061169280).

Almost surely, 2^{10006152321400} is an apocalyptic number.

10006152321400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10006152321400 is an abundant number, since it is smaller than the sum of its proper divisors (13327719929480).

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

10006152321400 is a wasteful number, since it uses less digits than its factorization.

10006152321400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111125 (or 111116 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 10006152321400 its reverse (412325160001), we get a palindrome (10418477481401).

The spelling of 10006152321400 in words is "ten trillion, six billion, one hundred fifty-two million, three hundred twenty-one thousand, four hundred".