10162771000 has 64 divisors (see below), whose sum is σ = 23869272960. Its totient is φ = 4050000000.

The previous prime is 10162770997. The next prime is 10162771057. The reversal of 10162771000 is 17726101.

It is a super-3 number, since 3×10162771000³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252250 + ... + 289750.

It is an arithmetic number, because the mean of its divisors is an integer number (372957390).

Almost surely, 2^10162771000 is an apocalyptic number.

10162771000 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 10162771000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11934636480).

10162771000 is an abundant number, since it is smaller than the sum of its proper divisors (13706501960).

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

10162771000 is a wasteful number, since it uses less digits than its factorization.

10162771000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37793 (or 37779 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 25.

The spelling of 10162771000 in words is "ten billion, one hundred sixty-two million, seven hundred seventy-one thousand".