10002936249900 has 864 divisors, whose sum is σ = 37522774388736. Its totient is φ = 2200504320000.

The previous prime is 10002936249899. The next prime is 10002936249913. The reversal of 10002936249900 is 994263920001.

It is a happy number.

10002936249900 is a `hidden beast` number, since 10 + 0 + 0 + 2 + 9 + 3 + 624 + 9 + 9 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1466057889 + ... + 1466064711.

It is an arithmetic number, because the mean of its divisors is an integer number (43429137024).

Almost surely, 2^{10002936249900} is an apocalyptic number.

10002936249900 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 10002936249900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18761387194368).

10002936249900 is an abundant number, since it is smaller than the sum of its proper divisors (27519838138836).

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

10002936249900 is a wasteful number, since it uses less digits than its factorization.

10002936249900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7183 (or 7173 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 10002936249900 in words is "ten trillion, two billion, nine hundred thirty-six million, two hundred forty-nine thousand, nine hundred".