10162849320 has 384 divisors, whose sum is σ = 37204876800. Its totient is φ = 2388621312.

The previous prime is 10162849309. The next prime is 10162849327. The reversal of 10162849320 is 2394826101.

10162849320 is a `hidden beast` number, since 1 + 0 + 1 + 628 + 4 + 9 + 3 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10162849327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13978797 + ... + 13979523.

It is an arithmetic number, because the mean of its divisors is an integer number (96887700).

Almost surely, 2^10162849320 is an apocalyptic number.

10162849320 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 10162849320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18602438400).

10162849320 is an abundant number, since it is smaller than the sum of its proper divisors (27042027480).

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

10162849320 is a wasteful number, since it uses less digits than its factorization.

10162849320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 10162849320 in words is "ten billion, one hundred sixty-two million, eight hundred forty-nine thousand, three hundred twenty".