83132787456 has 216 divisors, whose sum is σ = 261156279440. Its totient is φ = 26080247808.

The previous prime is 83132787443. The next prime is 83132787481. The reversal of 83132787456 is 65478723138.

It is a happy number.

83132787456 is a `hidden beast` number, since 8 + 313 + 278 + 7 + 4 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×83132787456² (a number of 23 digits) contains 22 as substring.

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

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, 1976760 + ... + 2018376.

Almost surely, 2^83132787456 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 83132787456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130578139720).

83132787456 is an abundant number, since it is smaller than the sum of its proper divisors (178023491984).

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

83132787456 is a wasteful number, since it uses less digits than its factorization.

83132787456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41676 (or 41639 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 83132787456 in words is "eighty-three billion, one hundred thirty-two million, seven hundred eighty-seven thousand, four hundred fifty-six".