10180726920 has 512 divisors, whose sum is σ = 42384384000. Its totient is φ = 2116316160.

The previous prime is 10180726903. The next prime is 10180726961. The reversal of 10180726920 is 2962708101.

It is a super-2 number, since 2×10180726920² (a number of 21 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 6977151 + ... + 6978609.

It is an arithmetic number, because the mean of its divisors is an integer number (82782000).

Almost surely, 2^10180726920 is an apocalyptic number.

10180726920 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 10180726920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21192192000).

10180726920 is an abundant number, since it is smaller than the sum of its proper divisors (32203657080).

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

10180726920 is a wasteful number, since it uses less digits than its factorization.

10180726920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 10180726920 in words is "ten billion, one hundred eighty million, seven hundred twenty-six thousand, nine hundred twenty".