90873446400000 has 2592 divisors, whose sum is σ = 375692408896896. Its totient is φ = 21764505600000.

The previous prime is 90873446399933. The next prime is 90873446400029. The reversal of 90873446400000 is 464437809.

90873446400000 is a `hidden beast` number, since 90 + 87 + 3 + 446 + 40 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×90873446400000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1094860799959 + ... + 1094860800041.

It is an arithmetic number, because the mean of its divisors is an integer number (144943058988).

Almost surely, 2^{90873446400000} is an apocalyptic number.

90873446400000 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 90873446400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187846204448448).

90873446400000 is an abundant number, since it is smaller than the sum of its proper divisors (284818962496896).

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

90873446400000 is an frugal number, since it uses more digits than its factorization.

90873446400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 90873446400000 in words is "ninety trillion, eight hundred seventy-three billion, four hundred forty-six million, four hundred thousand".