61590892608 has 504 divisors, whose sum is σ = 217183898880. Its totient is φ = 16605388800.

The previous prime is 61590892567. The next prime is 61590892637. The reversal of 61590892608 is 80629809516.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51282408 + ... + 51283608.

Almost surely, 2^61590892608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61590892608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108591949440).

61590892608 is an abundant number, since it is smaller than the sum of its proper divisors (155593006272).

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

61590892608 is a wasteful number, since it uses less digits than its factorization.

61590892608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 61590892608 in words is "sixty-one billion, five hundred ninety million, eight hundred ninety-two thousand, six hundred eight".