77530735660000 has 240 divisors, whose sum is σ = 218098948171104. Its totient is φ = 26568122112000.

The previous prime is 77530735659991. The next prime is 77530735660067. The reversal of 77530735660000 is 6653703577.

It is a super-2 number, since 2×77530735660000² (a number of 29 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 270476754 + ... + 270763246.

Almost surely, 2^{77530735660000} is an apocalyptic number.

77530735660000 is a gapful number since it is divisible by the number (70) 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 77530735660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109049474085552).

77530735660000 is an abundant number, since it is smaller than the sum of its proper divisors (140568212511104).

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

77530735660000 is a wasteful number, since it uses less digits than its factorization.

77530735660000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288463 (or 288440 counting only the distinct ones).

The product of its (nonzero) digits is 2778300, while the sum is 49.

The spelling of 77530735660000 in words is "seventy-seven trillion, five hundred thirty billion, seven hundred thirty-five million, six hundred sixty thousand".