10071549120 has 224 divisors, whose sum is σ = 33471429120. Its totient is φ = 2560983040.

The previous prime is 10071549067. The next prime is 10071549121. The reversal of 10071549120 is 2194517001.

It is a super-2 number, since 2×10071549120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10071549121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10840816 + ... + 10841744.

Almost surely, 2^10071549120 is an apocalyptic number.

10071549120 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 10071549120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16735714560).

10071549120 is an abundant number, since it is smaller than the sum of its proper divisors (23399880000).

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

10071549120 is a wasteful number, since it uses less digits than its factorization.

10071549120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The spelling of 10071549120 in words is "ten billion, seventy-one million, five hundred forty-nine thousand, one hundred twenty".