90377098812 has 960 divisors, whose sum is σ = 333314150400. Its totient is φ = 21207795840.

The previous prime is 90377098789. The next prime is 90377098813. The reversal of 90377098812 is 21889077309.

It is a super-2 number, since 2×90377098812² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90377098813) 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 319 ways as a sum of consecutive naturals, for example, 1922916973 + ... + 1922917019.

It is an arithmetic number, because the mean of its divisors is an integer number (347202240).

Almost surely, 2^90377098812 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 90377098812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166657075200).

90377098812 is an abundant number, since it is smaller than the sum of its proper divisors (242937051588).

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

90377098812 is a wasteful number, since it uses less digits than its factorization.

90377098812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 90377098812 in words is "ninety billion, three hundred seventy-seven million, ninety-eight thousand, eight hundred twelve".