10054590000 has 800 divisors, whose sum is σ = 41650667520. Its totient is φ = 2032128000.

The previous prime is 10054589983. The next prime is 10054590053. The reversal of 10054590000 is 9545001.

10054590000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 79169937 + ... + 79170063.

Almost surely, 2^10054590000 is an apocalyptic number.

10054590000 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 10054590000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20825333760).

10054590000 is an abundant number, since it is smaller than the sum of its proper divisors (31596077520).

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

10054590000 is a wasteful number, since it uses less digits than its factorization.

10054590000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 10054590000 in words is "ten billion, fifty-four million, five hundred ninety thousand".