88067709675540 has 288 divisors, whose sum is σ = 321876900576000. Its totient is φ = 19930457030400.

The previous prime is 88067709675523. The next prime is 88067709675571. The reversal of 88067709675540 is 4557690776088.

88067709675540 is a `hidden beast` number, since 8 + 8 + 0 + 6 + 7 + 7 + 0 + 9 + 6 + 75 + 540 = 666.

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 95 ways as a sum of consecutive naturals, for example, 13804440 + ... + 19149359.

It is an arithmetic number, because the mean of its divisors is an integer number (1117628127000).

Almost surely, 2^{88067709675540} is an apocalyptic number.

It is an amenable number.

88067709675540 is an abundant number, since it is smaller than the sum of its proper divisors (233809190900460).

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

88067709675540 is a wasteful number, since it uses less digits than its factorization.

88067709675540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32953932 (or 32953917 counting only the distinct ones).

The product of its (nonzero) digits is 711244800, while the sum is 72.

The spelling of 88067709675540 in words is "eighty-eight trillion, sixty-seven billion, seven hundred nine million, six hundred seventy-five thousand, five hundred forty".