10742950349600 has 288 divisors, whose sum is σ = 30253082428800. Its totient is φ = 3649012531200.

The previous prime is 10742950349597. The next prime is 10742950349623. The reversal of 10742950349600 is 694305924701.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269625680 + ... + 269665520.

It is an arithmetic number, because the mean of its divisors is an integer number (105045425100).

Almost surely, 2^{10742950349600} is an apocalyptic number.

10742950349600 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 10742950349600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15126541214400).

10742950349600 is an abundant number, since it is smaller than the sum of its proper divisors (19510132079200).

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

10742950349600 is a wasteful number, since it uses less digits than its factorization.

10742950349600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40316 (or 40303 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 50.

The spelling of 10742950349600 in words is "ten trillion, seven hundred forty-two billion, nine hundred fifty million, three hundred forty-nine thousand, six hundred".