5751105164000 has 192 divisors, whose sum is σ = 16151519180160. Its totient is φ = 1971512524800.

The previous prime is 5751105163981. The next prime is 5751105164009. The reversal of 5751105164000 is 4615011575.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5751105164009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 275201552 + ... + 275222448.

It is an arithmetic number, because the mean of its divisors is an integer number (84122495730).

Almost surely, 2^{5751105164000} is an apocalyptic number.

5751105164000 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 5751105164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8075759590080).

5751105164000 is an abundant number, since it is smaller than the sum of its proper divisors (10400414016160).

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

5751105164000 is a wasteful number, since it uses less digits than its factorization.

5751105164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30758 (or 30740 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 35.

The spelling of 5751105164000 in words is "five trillion, seven hundred fifty-one billion, one hundred five million, one hundred sixty-four thousand".