535656758616 has 256 divisors, whose sum is σ = 1746291840000. Its totient is φ = 152066678400.

The previous prime is 535656758591. The next prime is 535656758627. The reversal of 535656758616 is 616857656535.

It is a happy number.

535656758616 is a `hidden beast` number, since 5 + 3 + 5 + 6 + 5 + 6 + 7 + 5 + 8 + 616 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11608791 + ... + 11654841.

It is an arithmetic number, because the mean of its divisors is an integer number (6821452500).

Almost surely, 2^535656758616 is an apocalyptic number.

535656758616 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 535656758616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873145920000).

535656758616 is an abundant number, since it is smaller than the sum of its proper divisors (1210635081384).

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

535656758616 is a wasteful number, since it uses less digits than its factorization.

535656758616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46244 (or 46220 counting only the distinct ones).

The product of its digits is 136080000, while the sum is 63.

The spelling of 535656758616 in words is "five hundred thirty-five billion, six hundred fifty-six million, seven hundred fifty-eight thousand, six hundred sixteen".