10003096954368 has 1600 divisors, whose sum is σ = 38424461391360. Its totient is φ = 2521985974272.

The previous prime is 10003096954313. The next prime is 10003096954391. The reversal of 10003096954368 is 86345969030001.

10003096954368 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 3 + 0 + 96 + 9 + 543 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 10033196046 + ... + 10033197042.

Almost surely, 2^{10003096954368} is an apocalyptic number.

10003096954368 is a gapful number since it is divisible by the number (18) 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 10003096954368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19212230695680).

10003096954368 is an abundant number, since it is smaller than the sum of its proper divisors (28421364436992).

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

10003096954368 is a wasteful number, since it uses less digits than its factorization.

10003096954368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 10003096954368 in words is "ten trillion, three billion, ninety-six million, nine hundred fifty-four thousand, three hundred sixty-eight".