30777126160 has 160 divisors (see below), whose sum is σ = 83352665088. Its totient is φ = 10455836160.

The previous prime is 30777126157. The next prime is 30777126169. The reversal of 30777126160 is 6162177703.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (30777126169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 852639 + ... + 888001.

Almost surely, 2^30777126160 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 30777126160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41676332544).

30777126160 is an abundant number, since it is smaller than the sum of its proper divisors (52575538928).

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

30777126160 is a wasteful number, since it uses less digits than its factorization.

30777126160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35453 (or 35447 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 40.

The spelling of 30777126160 in words is "thirty billion, seven hundred seventy-seven million, one hundred twenty-six thousand, one hundred sixty".