9977852626560 has 4608 divisors, whose sum is σ = 48825097574400. Its totient is φ = 1930080337920.

The previous prime is 9977852626549. The next prime is 9977852626597. The reversal of 9977852626560 is 656262587799.

It is a happy number.

9977852626560 is a `hidden beast` number, since 9 + 9 + 7 + 7 + 8 + 52 + 6 + 2 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 321866213745 + ... + 321866213775.

It is an arithmetic number, because the mean of its divisors is an integer number (10595724300).

Almost surely, 2^{9977852626560} is an apocalyptic number.

9977852626560 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9977852626560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24412548787200).

9977852626560 is an abundant number, since it is smaller than the sum of its proper divisors (38847244947840).

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

9977852626560 is a wasteful number, since it uses less digits than its factorization.

9977852626560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 9977852626560 in words is "nine trillion, nine hundred seventy-seven billion, eight hundred fifty-two million, six hundred twenty-six thousand, five hundred sixty".