5461106751000 has 320 divisors, whose sum is σ = 19157136878880. Its totient is φ = 1451143123200.

The previous prime is 5461106750999. The next prime is 5461106751031. The reversal of 5461106751000 is 1576011645.

It is a happy number.

5461106751000 is a `hidden beast` number, since 546 + 1 + 1 + 0 + 6 + 7 + 5 + 100 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22803882 + ... + 23042118.

Almost surely, 2^{5461106751000} is an apocalyptic number.

5461106751000 is a gapful number since it is divisible by the number (50) 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 5461106751000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9578568439440).

5461106751000 is an abundant number, since it is smaller than the sum of its proper divisors (13696030127880).

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

5461106751000 is a wasteful number, since it uses less digits than its factorization.

5461106751000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238553 (or 238530 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 5461106751000 in words is "five trillion, four hundred sixty-one billion, one hundred six million, seven hundred fifty-one thousand".