10545501120 has 448 divisors, whose sum is σ = 41967009792. Its totient is φ = 2179584000.

The previous prime is 10545501119. The next prime is 10545501121. The reversal of 10545501120 is 2110554501.

It is an interprime number because it is at equal distance from previous prime (10545501119) and next prime (10545501121).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×10545501120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10545501121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24467305 + ... + 24467735.

Almost surely, 2^10545501120 is an apocalyptic number.

10545501120 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 10545501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20983504896).

10545501120 is an abundant number, since it is smaller than the sum of its proper divisors (31421508672).

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

10545501120 is a wasteful number, since it uses less digits than its factorization.

10545501120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 24.

The spelling of 10545501120 in words is "ten billion, five hundred forty-five million, five hundred one thousand, one hundred twenty".