83082070649088 has 144 divisors (see below), whose sum is σ = 280786627820160. Its totient is φ = 23737734457344.

The previous prime is 83082070649047. The next prime is 83082070649099. The reversal of 83082070649088 is 88094607028038.

83082070649088 is a `hidden beast` number, since 8 + 308 + 207 + 0 + 6 + 49 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 858521295 + ... + 858618062.

It is an arithmetic number, because the mean of its divisors is an integer number (1949907137640).

Almost surely, 2^{83082070649088} is an apocalyptic number.

It is an amenable number.

83082070649088 is an abundant number, since it is smaller than the sum of its proper divisors (197704557171072).

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

83082070649088 is a wasteful number, since it uses less digits than its factorization.

83082070649088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717139389 (or 1717139369 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 83082070649088 in words is "eighty-three trillion, eighty-two billion, seventy million, six hundred forty-nine thousand, eighty-eight".