9975662550 has 216 divisors, whose sum is σ = 31330055016. Its totient is φ = 2268967680.

The previous prime is 9975662507. The next prime is 9975662561. The reversal of 9975662550 is 552665799.

It is a happy number.

9975662550 is a `hidden beast` number, since 9 + 9 + 7 + 5 + 6 + 625 + 5 + 0 = 666.

It is a super-2 number, since 2×9975662550² (a number of 21 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 107 ways as a sum of consecutive naturals, for example, 5004354 + ... + 5006346.

It is an arithmetic number, because the mean of its divisors is an integer number (145046551).

Almost surely, 2^9975662550 is an apocalyptic number.

9975662550 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9975662550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15665027508).

9975662550 is an abundant number, since it is smaller than the sum of its proper divisors (21354392466).

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

9975662550 is a wasteful number, since it uses less digits than its factorization.

9975662550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The square root of 9975662550 is about 99878.2386208327. The cubic root of 9975662550 is about 2152.6854886752.

The spelling of 9975662550 in words is "nine billion, nine hundred seventy-five million, six hundred sixty-two thousand, five hundred fifty".