10054269018000 has 800 divisors, whose sum is σ = 36851514530688. Its totient is φ = 2641921920000.

The previous prime is 10054269017999. The next prime is 10054269018011. The reversal of 10054269018000 is 81096245001.

10054269018000 is a `hidden beast` number, since 10 + 0 + 542 + 6 + 90 + 18 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3714172647 + ... + 3714175353.

Almost surely, 2^{10054269018000} is an apocalyptic number.

10054269018000 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 10054269018000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18425757265344).

10054269018000 is an abundant number, since it is smaller than the sum of its proper divisors (26797245512688).

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

10054269018000 is a wasteful number, since it uses less digits than its factorization.

10054269018000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3070 (or 3045 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10054269018000 in words is "ten trillion, fifty-four billion, two hundred sixty-nine million, eighteen thousand".