10054824000 has 672 divisors, whose sum is σ = 37474160256. Its totient is φ = 2372198400.

The previous prime is 10054823993. The next prime is 10054824007. The reversal of 10054824000 is 42845001.

It is an interprime number because it is at equal distance from previous prime (10054823993) and next prime (10054824007).

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 (10054824007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 150071967 + ... + 150072033.

Almost surely, 2^10054824000 is an apocalyptic number.

10054824000 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 10054824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18737080128).

10054824000 is an abundant number, since it is smaller than the sum of its proper divisors (27419336256).

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

10054824000 is a wasteful number, since it uses less digits than its factorization.

10054824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 127 counting only the distinct ones).

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

The spelling of 10054824000 in words is "ten billion, fifty-four million, eight hundred twenty-four thousand".