82690142535 has 384 divisors, whose sum is σ = 205302988800. Its totient is φ = 29647088640.

The previous prime is 82690142533. The next prime is 82690142537. The reversal of 82690142535 is 53524109628.

82690142535 is a `hidden beast` number, since 8 + 26 + 90 + 1 + 4 + 2 + 535 = 666.

It is an interprime number because it is at equal distance from previous prime (82690142533) and next prime (82690142537).

It is not a de Polignac number, because 82690142535 - 2¹ = 82690142533 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82690142531) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 67611934 + ... + 67613156.

It is an arithmetic number, because the mean of its divisors is an integer number (534643200).

Almost surely, 2^82690142535 is an apocalyptic number.

82690142535 is an abundant number, since it is smaller than the sum of its proper divisors (122612846265).

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

82690142535 is a wasteful number, since it uses less digits than its factorization.

82690142535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 82690142535 in words is "eighty-two billion, six hundred ninety million, one hundred forty-two thousand, five hundred thirty-five".