83953704960 has 224 divisors, whose sum is σ = 298487774880. Its totient is φ = 22387359744.

The previous prime is 83953704953. The next prime is 83953705019. The reversal of 83953704960 is 6940735938.

83953704960 is a `hidden beast` number, since 8 + 3 + 9 + 537 + 0 + 49 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 83953704897 and 83953704906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1067964 + ... + 1143876.

Almost surely, 2^83953704960 is an apocalyptic number.

83953704960 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 83953704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149243887440).

83953704960 is an abundant number, since it is smaller than the sum of its proper divisors (214534069920).

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

83953704960 is an equidigital number, since it uses as much as digits as its factorization.

83953704960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75953 (or 75923 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 83953704960 in words is "eighty-three billion, nine hundred fifty-three million, seven hundred four thousand, nine hundred sixty".