10133773920 has 480 divisors, whose sum is σ = 37706407200. Its totient is φ = 2559320064.

The previous prime is 10133773907. The next prime is 10133773931. The reversal of 10133773920 is 2937733101.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 22174332 + ... + 22174788.

It is an arithmetic number, because the mean of its divisors is an integer number (78555015).

Almost surely, 2^10133773920 is an apocalyptic number.

10133773920 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 10133773920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18853203600).

10133773920 is an abundant number, since it is smaller than the sum of its proper divisors (27572633280).

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

10133773920 is a wasteful number, since it uses less digits than its factorization.

10133773920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The spelling of 10133773920 in words is "ten billion, one hundred thirty-three million, seven hundred seventy-three thousand, nine hundred twenty".