89142407106400 has 72 divisors (see below), whose sum is σ = 218465668005480. Its totient is φ = 35518219714560.

The previous prime is 89142407106377. The next prime is 89142407106409. The reversal of 89142407106400 is 460170424198.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89142407106409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216580410 + ... + 216991609.

It is an arithmetic number, because the mean of its divisors is an integer number (3034245388965).

Almost surely, 2^{89142407106400} is an apocalyptic number.

89142407106400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89142407106400 is an abundant number, since it is smaller than the sum of its proper divisors (129323260899080).

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

89142407106400 is a wasteful number, since it uses less digits than its factorization.

89142407106400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433572296 (or 433572283 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 89142407106400 in words is "eighty-nine trillion, one hundred forty-two billion, four hundred seven million, one hundred six thousand, four hundred".