83953039633920 has 240 divisors, whose sum is σ = 290786904085392. Its totient is φ = 22384865771520.

The previous prime is 83953039633907. The next prime is 83953039633949. The reversal of 83953039633920 is 2933693035938.

83953039633920 is a `hidden beast` number, since 8 + 3 + 9 + 530 + 3 + 9 + 6 + 3 + 3 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×83953039633920² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201460975 + ... + 201877265.

Almost surely, 2^{83953039633920} is an apocalyptic number.

83953039633920 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 83953039633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145393452042696).

83953039633920 is an abundant number, since it is smaller than the sum of its proper divisors (206833864451472).

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

83953039633920 is a wasteful number, since it uses less digits than its factorization.

83953039633920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425073 (or 425054 counting only the distinct ones).

The product of its (nonzero) digits is 85030560, while the sum is 63.

The spelling of 83953039633920 in words is "eighty-three trillion, nine hundred fifty-three billion, thirty-nine million, six hundred thirty-three thousand, nine hundred twenty".