61758088512 has 168 divisors, whose sum is σ = 175188493920. Its totient is φ = 19195453440.

The previous prime is 61758088451. The next prime is 61758088571. The reversal of 61758088512 is 21588085716.

It is a super-2 number, since 2×61758088512² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6043087 + ... + 6053297.

Almost surely, 2^61758088512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61758088512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87594246960).

61758088512 is an abundant number, since it is smaller than the sum of its proper divisors (113430405408).

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

61758088512 is a wasteful number, since it uses less digits than its factorization.

61758088512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10369 (or 10342 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 51.

The spelling of 61758088512 in words is "sixty-one billion, seven hundred fifty-eight million, eighty-eight thousand, five hundred twelve".