80463225830400 has 3960 divisors, whose sum is σ = 377195418729360. Its totient is φ = 16828528066560.

The previous prime is 80463225830399. The next prime is 80463225830423. The reversal of 80463225830400 is 403852236408.

80463225830400 is a `hidden beast` number, since 8 + 0 + 4 + 6 + 3 + 22 + 583 + 0 + 40 + 0 = 666.

It is a super-2 number, since 2×80463225830400² (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 359 ways as a sum of consecutive naturals, for example, 63910424971 + ... + 63910426229.

It is an arithmetic number, because the mean of its divisors is an integer number (95251368366).

Almost surely, 2^{80463225830400} is an apocalyptic number.

80463225830400 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 80463225830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188597709364680).

80463225830400 is an abundant number, since it is smaller than the sum of its proper divisors (296732192898960).

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

80463225830400 is a wasteful number, since it uses less digits than its factorization.

80463225830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 80463225830400 in words is "eighty trillion, four hundred sixty-three billion, two hundred twenty-five million, eight hundred thirty thousand, four hundred".