5701367651616 has 864 divisors, whose sum is σ = 21802523258880. Its totient is φ = 1378516838400.

The previous prime is 5701367651611. The next prime is 5701367651653. The reversal of 5701367651616 is 6161567631075.

5701367651616 is a `hidden beast` number, since 5 + 7 + 0 + 13 + 6 + 7 + 6 + 5 + 1 + 616 = 666.

It is a super-2 number, since 2×5701367651616² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5701367651611) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 200660451 + ... + 200688861.

It is an arithmetic number, because the mean of its divisors is an integer number (25234401920).

Almost surely, 2^{5701367651616} is an apocalyptic number.

5701367651616 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 5701367651616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10901261629440).

5701367651616 is an abundant number, since it is smaller than the sum of its proper divisors (16101155607264).

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

5701367651616 is a wasteful number, since it uses less digits than its factorization.

5701367651616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28510 (or 28486 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 5701367651616 in words is "five trillion, seven hundred one billion, three hundred sixty-seven million, six hundred fifty-one thousand, six hundred sixteen".