10177009920 has 972 divisors, whose sum is σ = 45324524700. Its totient is φ = 2100510720.

The previous prime is 10177009901. The next prime is 10177009943. The reversal of 10177009920 is 2990077101.

It can be written as a sum of positive squares in 2 ways, for example, as 2308610304 + 7868399616 = 48048^2 + 88704^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 68302006 + ... + 68302154.

Almost surely, 2^10177009920 is an apocalyptic number.

10177009920 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 10177009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22662262350).

10177009920 is an abundant number, since it is smaller than the sum of its proper divisors (35147514780).

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

10177009920 is a wasteful number, since it uses less digits than its factorization.

10177009920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The spelling of 10177009920 in words is "ten billion, one hundred seventy-seven million, nine thousand, nine hundred twenty".