90776706048 has 352 divisors, whose sum is σ = 308916864000. Its totient is φ = 25794920448.

The previous prime is 90776706043. The next prime is 90776706077. The reversal of 90776706048 is 84060767709.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 90776705985 and 90776706003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90776706043) 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, 38512486 + ... + 38514842.

Almost surely, 2^90776706048 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 90776706048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154458432000).

90776706048 is an abundant number, since it is smaller than the sum of its proper divisors (218140157952).

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

90776706048 is a wasteful number, since it uses less digits than its factorization.

90776706048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 90776706048 in words is "ninety billion, seven hundred seventy-six million, seven hundred six thousand, forty-eight".