96889897055952 has 3200 divisors, whose sum is σ = 409708816957440. Its totient is φ = 21306264883200.

The previous prime is 96889897055951. The next prime is 96889897056031. The reversal of 96889897055952 is 25955079898869.

It is a happy number.

96889897055952 is a `hidden beast` number, since 9 + 6 + 8 + 8 + 9 + 8 + 9 + 7 + 0 + 5 + 595 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96889897055951) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 888898138074 + ... + 888898138182.

Almost surely, 2^{96889897055952} is an apocalyptic number.

96889897055952 is a gapful number since it is divisible by the number (92) 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 96889897055952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204854408478720).

96889897055952 is an abundant number, since it is smaller than the sum of its proper divisors (312818919901488).

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

96889897055952 is a wasteful number, since it uses less digits than its factorization.

96889897055952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 35271936000, while the sum is 90.

The spelling of 96889897055952 in words is "ninety-six trillion, eight hundred eighty-nine billion, eight hundred ninety-seven million, fifty-five thousand, nine hundred fifty-two".