83983626090 has 384 divisors, whose sum is σ = 281251256832. Its totient is φ = 17557585920.

The previous prime is 83983626073. The next prime is 83983626091. The reversal of 83983626090 is 9062638938.

83983626090 is a `hidden beast` number, since 8 + 3 + 9 + 8 + 3 + 626 + 0 + 9 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (83983626091) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24986010 + ... + 24989370.

It is an arithmetic number, because the mean of its divisors is an integer number (732425148).

Almost surely, 2^83983626090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83983626090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140625628416).

83983626090 is an abundant number, since it is smaller than the sum of its proper divisors (197267630742).

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

83983626090 is a wasteful number, since it uses less digits than its factorization.

83983626090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3516 (or 3504 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 83983626090 in words is "eighty-three billion, nine hundred eighty-three million, six hundred twenty-six thousand, ninety".