10249494988200 has 384 divisors, whose sum is σ = 34334377459200. Its totient is φ = 2514355200000.

The previous prime is 10249494988189. The next prime is 10249494988207. The reversal of 10249494988200 is 288949494201.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (10249494988207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3286146241 + ... + 3286149359.

It is an arithmetic number, because the mean of its divisors is an integer number (89412441300).

Almost surely, 2^{10249494988200} is an apocalyptic number.

10249494988200 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 10249494988200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17167188729600).

10249494988200 is an abundant number, since it is smaller than the sum of its proper divisors (24084882471000).

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

10249494988200 is a wasteful number, since it uses less digits than its factorization.

10249494988200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4453 (or 4444 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 60.

The spelling of 10249494988200 in words is "ten trillion, two hundred forty-nine billion, four hundred ninety-four million, nine hundred eighty-eight thousand, two hundred".