10180128816 has 480 divisors, whose sum is σ = 35242744320. Its totient is φ = 2794176000.

The previous prime is 10180128811. The next prime is 10180128841. The reversal of 10180128816 is 61882108101.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10180128811) 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, 48246951 + ... + 48247161.

It is an arithmetic number, because the mean of its divisors is an integer number (73422384).

Almost surely, 2^10180128816 is an apocalyptic number.

10180128816 is a gapful number since it is divisible by the number (16) 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 10180128816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17621372160).

10180128816 is an abundant number, since it is smaller than the sum of its proper divisors (25062615504).

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

10180128816 is a wasteful number, since it uses less digits than its factorization.

10180128816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 36.

The spelling of 10180128816 in words is "ten billion, one hundred eighty million, one hundred twenty-eight thousand, eight hundred sixteen".