90977739360 has 192 divisors, whose sum is σ = 294226732800. Its totient is φ = 23620413440.

The previous prime is 90977739341. The next prime is 90977739367. The reversal of 90977739360 is 6393777909.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 90977739294 and 90977739303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90977739367) 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, 3318991 + ... + 3346289.

It is an arithmetic number, because the mean of its divisors is an integer number (1532430900).

Almost surely, 2^90977739360 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 90977739360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147113366400).

90977739360 is an abundant number, since it is smaller than the sum of its proper divisors (203248993440).

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

90977739360 is a wasteful number, since it uses less digits than its factorization.

90977739360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27501 (or 27493 counting only the distinct ones).

The product of its (nonzero) digits is 13502538, while the sum is 60.

The spelling of 90977739360 in words is "ninety billion, nine hundred seventy-seven million, seven hundred thirty-nine thousand, three hundred sixty".