83812215960 has 192 divisors, whose sum is σ = 297420608160. Its totient is φ = 20299776000.

The previous prime is 83812215953. The next prime is 83812215979. The reversal of 83812215960 is 6951221838.

83812215960 is a `hidden beast` number, since 8 + 38 + 1 + 2 + 21 + 596 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4667800 + ... + 4685720.

Almost surely, 2^83812215960 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 83812215960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148710304080).

83812215960 is an abundant number, since it is smaller than the sum of its proper divisors (213608392200).

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

83812215960 is a wasteful number, since it uses less digits than its factorization.

83812215960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19130 (or 19123 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 83812215960 in words is "eighty-three billion, eight hundred twelve million, two hundred fifteen thousand, nine hundred sixty".