80145154252800 has 4704 divisors, whose sum is σ = 389444037236352. Its totient is φ = 15869191127040.

The previous prime is 80145154252799. The next prime is 80145154252831. The reversal of 80145154252800 is 825245154108.

80145154252800 is a `hidden beast` number, since 8 + 0 + 1 + 4 + 51 + 542 + 52 + 8 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 230965862227 + ... + 230965862573.

Almost surely, 2^{80145154252800} is an apocalyptic number.

80145154252800 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 80145154252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194722018618176).

80145154252800 is an abundant number, since it is smaller than the sum of its proper divisors (309298882983552).

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

80145154252800 is a wasteful number, since it uses less digits than its factorization.

80145154252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

The spelling of 80145154252800 in words is "eighty trillion, one hundred forty-five billion, one hundred fifty-four million, two hundred fifty-two thousand, eight hundred".