10950139200 has 1344 divisors, whose sum is σ = 50288781312. Its totient is φ = 2012774400.

The previous prime is 10950139199. The next prime is 10950139217. The reversal of 10950139200 is 293105901.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 206606374 + ... + 206606426.

It is an arithmetic number, because the mean of its divisors is an integer number (37417248).

Almost surely, 2^10950139200 is an apocalyptic number.

10950139200 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 10950139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25144390656).

10950139200 is an abundant number, since it is smaller than the sum of its proper divisors (39338642112).

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

10950139200 is a wasteful number, since it uses less digits than its factorization.

10950139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The spelling of 10950139200 in words is "ten billion, nine hundred fifty million, one hundred thirty-nine thousand, two hundred".