10954580380128 has 2688 divisors, whose sum is σ = 45691527168000. Its totient is φ = 2494431313920.

The previous prime is 10954580380099. The next prime is 10954580380157. The reversal of 10954580380128 is 82108308545901.

10954580380128 is a `hidden beast` number, since 1 + 0 + 9 + 5 + 4 + 580 + 38 + 0 + 1 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (10954580380099) and next prime (10954580380157).

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 447 ways as a sum of consecutive naturals, for example, 45835064233 + ... + 45835064471.

It is an arithmetic number, because the mean of its divisors is an integer number (16998336000).

Almost surely, 2^{10954580380128} is an apocalyptic number.

10954580380128 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 10954580380128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22845763584000).

10954580380128 is an abundant number, since it is smaller than the sum of its proper divisors (34736946787872).

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

10954580380128 is a wasteful number, since it uses less digits than its factorization.

10954580380128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 10954580380128 in words is "ten trillion, nine hundred fifty-four billion, five hundred eighty million, three hundred eighty thousand, one hundred twenty-eight".