5751627423696 has 1200 divisors, whose sum is σ = 21846401740800. Its totient is φ = 1397572323840.

The previous prime is 5751627423677. The next prime is 5751627423781. The reversal of 5751627423696 is 6963247261575.

5751627423696 is a `hidden beast` number, since 5 + 7 + 516 + 2 + 7 + 4 + 23 + 6 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4111241205 + ... + 4111242603.

It is an arithmetic number, because the mean of its divisors is an integer number (18205334784).

Almost surely, 2^{5751627423696} is an apocalyptic number.

5751627423696 is a gapful number since it is divisible by the number (56) 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 5751627423696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10923200870400).

5751627423696 is an abundant number, since it is smaller than the sum of its proper divisors (16094774317104).

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

5751627423696 is a wasteful number, since it uses less digits than its factorization.

5751627423696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1492 counting only the distinct ones).

The product of its digits is 114307200, while the sum is 63.

The spelling of 5751627423696 in words is "five trillion, seven hundred fifty-one billion, six hundred twenty-seven million, four hundred twenty-three thousand, six hundred ninety-six".