80623152230400 has 6240 divisors, whose sum is σ = 371642838336000. Its totient is φ = 17069317816320.

The previous prime is 80623152230353. The next prime is 80623152230417. The reversal of 80623152230400 is 403225132608.

80623152230400 is a `hidden beast` number, since 8 + 0 + 6 + 2 + 3 + 15 + 2 + 230 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (6240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1366494105571 + ... + 1366494105629.

Almost surely, 2^{80623152230400} is an apocalyptic number.

80623152230400 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 80623152230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185821419168000).

80623152230400 is an abundant number, since it is smaller than the sum of its proper divisors (291019686105600).

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

80623152230400 is a wasteful number, since it uses less digits than its factorization.

80623152230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 80623152230400 in words is "eighty trillion, six hundred twenty-three billion, one hundred fifty-two million, two hundred thirty thousand, four hundred".