10545474240 has 1260 divisors, whose sum is σ = 48056420016. Its totient is φ = 2184247296.

The previous prime is 10545474139. The next prime is 10545474283. The reversal of 10545474240 is 4247454501.

10545474240 is a `hidden beast` number, since 1 + 0 + 545 + 4 + 74 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a super-2 number, since 2×10545474240² (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 a junction number, because it is equal to n+sod(n) for n = 10545474195 and 10545474204.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 458498869 + ... + 458498891.

Almost surely, 2^10545474240 is an apocalyptic number.

10545474240 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 10545474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24028210008).

10545474240 is an abundant number, since it is smaller than the sum of its proper divisors (37510945776).

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

10545474240 is a wasteful number, since it uses less digits than its factorization.

10545474240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 36.

The spelling of 10545474240 in words is "ten billion, five hundred forty-five million, four hundred seventy-four thousand, two hundred forty".