89977937043456 has 2688 divisors, whose sum is σ = 358017358233600. Its totient is φ = 21069103104000.

The previous prime is 89977937043427. The next prime is 89977937043457. The reversal of 89977937043456 is 65434073977998.

It is a happy number.

89977937043456 is a `hidden beast` number, since 8 + 9 + 9 + 7 + 7 + 93 + 70 + 4 + 3 + 456 = 666.

89977937043456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×89977937043456² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (89977937043457) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 237408804675 + ... + 237408805053.

Almost surely, 2^{89977937043456} 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 89977937043456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179008679116800).

89977937043456 is an abundant number, since it is smaller than the sum of its proper divisors (268039421190144).

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

89977937043456 is a wasteful number, since it uses less digits than its factorization.

89977937043456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 8641624320, while the sum is 81.

The spelling of 89977937043456 in words is "eighty-nine trillion, nine hundred seventy-seven billion, nine hundred thirty-seven million, forty-three thousand, four hundred fifty-six".