10054240800 has 72 divisors (see below), whose sum is σ = 32726561616. Its totient is φ = 2681130240.

The previous prime is 10054240789. The next prime is 10054240829. The reversal of 10054240800 is 804245001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2092234 + ... + 2097033.

It is an arithmetic number, because the mean of its divisors is an integer number (454535578).

Almost surely, 2^10054240800 is an apocalyptic number.

10054240800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10054240800 is an abundant number, since it is smaller than the sum of its proper divisors (22672320816).

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

10054240800 is a wasteful number, since it uses less digits than its factorization.

10054240800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4189290 (or 4189277 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 10054240800 its reverse (804245001), we get a palindrome (10858485801).

The spelling of 10054240800 in words is "ten billion, fifty-four million, two hundred forty thousand, eight hundred".