90406772391936 has 2880 divisors, whose sum is σ = 350265267588096. Its totient is φ = 20346568704000.

The previous prime is 90406772391877. The next prime is 90406772391953. The reversal of 90406772391936 is 63919327760409.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 800059932616 + ... + 800059932728.

Almost surely, 2^{90406772391936} is an apocalyptic number.

90406772391936 is a gapful number since it is divisible by the number (96) 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 90406772391936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175132633794048).

90406772391936 is an abundant number, since it is smaller than the sum of its proper divisors (259858495196160).

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

90406772391936 is a wasteful number, since it uses less digits than its factorization.

90406772391936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 92588832, while the sum is 66.

The spelling of 90406772391936 in words is "ninety trillion, four hundred six billion, seven hundred seventy-two million, three hundred ninety-one thousand, nine hundred thirty-six".