90577641126550 has 192 divisors, whose sum is σ = 178221178257408. Its totient is φ = 34182086400000.

The previous prime is 90577641126463. The next prime is 90577641126563. The reversal of 90577641126550 is 5562114677509.

It is a super-2 number, since 2×90577641126550² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24673831215 + ... + 24673834885.

It is an arithmetic number, because the mean of its divisors is an integer number (928235303424).

Almost surely, 2^{90577641126550} is an apocalyptic number.

90577641126550 is a deficient number, since it is larger than the sum of its proper divisors (87643537130858).

90577641126550 is a wasteful number, since it uses less digits than its factorization.

90577641126550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4775 (or 4770 counting only the distinct ones).

The product of its (nonzero) digits is 15876000, while the sum is 58.

The spelling of 90577641126550 in words is "ninety trillion, five hundred seventy-seven billion, six hundred forty-one million, one hundred twenty-six thousand, five hundred fifty".