83753701920 has 768 divisors, whose sum is σ = 350408540160. Its totient is φ = 18509368320.

The previous prime is 83753701919. The next prime is 83753701943. The reversal of 83753701920 is 2910735738.

It is a happy number.

83753701920 is a `hidden beast` number, since 83 + 7 + 537 + 0 + 19 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 75932089 + ... + 75933191.

It is an arithmetic number, because the mean of its divisors is an integer number (456261120).

Almost surely, 2^83753701920 is an apocalyptic number.

83753701920 is a gapful number since it is divisible by the number (80) 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 83753701920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175204270080).

83753701920 is an abundant number, since it is smaller than the sum of its proper divisors (266654838240).

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

83753701920 is a wasteful number, since it uses less digits than its factorization.

83753701920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 83753701920 in words is "eighty-three billion, seven hundred fifty-three million, seven hundred one thousand, nine hundred twenty".