10953721350 has 864 divisors, whose sum is σ = 39907445760. Its totient is φ = 2115072000.

The previous prime is 10953721349. The next prime is 10953721357. The reversal of 10953721350 is 5312735901.

10953721350 is a `hidden beast` number, since 109 + 537 + 2 + 13 + 5 + 0 = 666.

It is a super-2 number, since 2×10953721350² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10953721357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 353345835 + ... + 353345865.

Almost surely, 2^10953721350 is an apocalyptic number.

10953721350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10953721350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19953722880).

10953721350 is an abundant number, since it is smaller than the sum of its proper divisors (28953724410).

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

10953721350 is a wasteful number, since it uses less digits than its factorization.

10953721350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The spelling of 10953721350 in words is "ten billion, nine hundred fifty-three million, seven hundred twenty-one thousand, three hundred fifty".