96948777072 has 160 divisors (see below), whose sum is σ = 288089418240. Its totient is φ = 27520312320.

The previous prime is 96948777071. The next prime is 96948777139. The reversal of 96948777072 is 27077784969.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 96948776994 and 96948777012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96948777071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36987922 + ... + 36990542.

It is an arithmetic number, because the mean of its divisors is an integer number (1800558864).

Almost surely, 2^96948777072 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 96948777072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144044709120).

96948777072 is an abundant number, since it is smaller than the sum of its proper divisors (191140641168).

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

96948777072 is a wasteful number, since it uses less digits than its factorization.

96948777072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3311 (or 3305 counting only the distinct ones).

The product of its (nonzero) digits is 74680704, while the sum is 66.

The spelling of 96948777072 in words is "ninety-six billion, nine hundred forty-eight million, seven hundred seventy-seven thousand, seventy-two".