10549248000 has 480 divisors, whose sum is σ = 37539972288. Its totient is φ = 2621440000.

The previous prime is 10549247987. The next prime is 10549248023. The reversal of 10549248000 is 84294501.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×10549248000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104447950 + ... + 104448050.

Almost surely, 2^10549248000 is an apocalyptic number.

10549248000 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 10549248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18769986144).

10549248000 is an abundant number, since it is smaller than the sum of its proper divisors (26990724288).

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

10549248000 is an equidigital number, since it uses as much as digits as its factorization.

10549248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 10549248000 in words is "ten billion, five hundred forty-nine million, two hundred forty-eight thousand".