873089474400 has 3024 divisors, whose sum is σ = 4098999990960. Its totient is φ = 178711142400.

The previous prime is 873089474399. The next prime is 873089474401. The reversal of 873089474400 is 4474980378.

873089474400 is a `hidden beast` number, since 87 + 3 + 0 + 8 + 94 + 74 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (873089474399) and next prime (873089474401).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (873089474401) by changing a digit.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 30106533586 + ... + 30106533614.

It is an arithmetic number, because the mean of its divisors is an integer number (1355489415).

Almost surely, 2^873089474400 is an apocalyptic number.

873089474400 is a gapful number since it is divisible by the number (80) 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 873089474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049499995480).

873089474400 is an abundant number, since it is smaller than the sum of its proper divisors (3225910516560).

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

873089474400 is a wasteful number, since it uses less digits than its factorization.

873089474400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 873089474400 in words is "eight hundred seventy-three billion, eighty-nine million, four hundred seventy-four thousand, four hundred".