10351117920 has 384 divisors, whose sum is σ = 40327580160. Its totient is φ = 2194145280.

The previous prime is 10351117873. The next prime is 10351117979. The reversal of 10351117920 is 2971115301.

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 63 ways as a sum of consecutive naturals, for example, 1300192 + ... + 1308128.

It is an arithmetic number, because the mean of its divisors is an integer number (105019740).

Almost surely, 2^10351117920 is an apocalyptic number.

10351117920 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 10351117920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20163790080).

10351117920 is an abundant number, since it is smaller than the sum of its proper divisors (29976462240).

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

10351117920 is a wasteful number, since it uses less digits than its factorization.

10351117920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7998 (or 7990 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 30.

It can be divided in two parts, 10351 and 117920, that added together give a triangular number (128271 = T₅₀₆).

The spelling of 10351117920 in words is "ten billion, three hundred fifty-one million, one hundred seventeen thousand, nine hundred twenty".