82803713459400 has 120 divisors (see below), whose sum is σ = 287589564117570. Its totient is φ = 22080990251520.

The previous prime is 82803713459371. The next prime is 82803713459521. The reversal of 82803713459400 is 495431730828.

It is a happy number.

82803713459400 is a `hidden beast` number, since 8 + 2 + 8 + 0 + 37 + 13 + 4 + 594 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 29994220983204 + 52809492476196 = 5476698^2 + 7267014^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×82803713459400³ (a number of 43 digits) contains 333 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 29 ways as a sum of consecutive naturals, for example, 2555653969 + ... + 2555686368.

Almost surely, 2^{82803713459400} is an apocalyptic number.

It is an amenable number.

82803713459400 is an abundant number, since it is smaller than the sum of its proper divisors (204785850658170).

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

82803713459400 is a wasteful number, since it uses less digits than its factorization.

82803713459400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5111340365 (or 5111340347 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 82803713459400 in words is "eighty-two trillion, eight hundred three billion, seven hundred thirteen million, four hundred fifty-nine thousand, four hundred".