10546578240 has 448 divisors, whose sum is σ = 38490826752. Its totient is φ = 2421760000.

The previous prime is 10546578233. The next prime is 10546578253. The reversal of 10546578240 is 4287564501.

It is a happy number.

It is a super-2 number, since 2×10546578240² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10546578192 and 10546578201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42018115 + ... + 42018365.

It is an arithmetic number, because the mean of its divisors is an integer number (85917024).

Almost surely, 2^10546578240 is an apocalyptic number.

10546578240 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 10546578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19245413376).

10546578240 is an abundant number, since it is smaller than the sum of its proper divisors (27944248512).

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

10546578240 is a wasteful number, since it uses less digits than its factorization.

10546578240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 10546578240 in words is "ten billion, five hundred forty-six million, five hundred seventy-eight thousand, two hundred forty".