10096330028400 has 2880 divisors, whose sum is σ = 48283971056640. Its totient is φ = 1977318604800.

The previous prime is 10096330028399. The next prime is 10096330028413. The reversal of 10096330028400 is 482003369001.

10096330028400 is a `hidden beast` number, since 10 + 0 + 9 + 63 + 300 + 284 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 9773794284 + ... + 9773795316.

It is an arithmetic number, because the mean of its divisors is an integer number (16765267728).

Almost surely, 2^{10096330028400} is an apocalyptic number.

10096330028400 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 10096330028400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24141985528320).

10096330028400 is an abundant number, since it is smaller than the sum of its proper divisors (38187641028240).

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

10096330028400 is a wasteful number, since it uses less digits than its factorization.

10096330028400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 10096330028400 in words is "ten trillion, ninety-six billion, three hundred thirty million, twenty-eight thousand, four hundred".