153086222404800 has 504 divisors, whose sum is σ = 564571228524576. Its totient is φ = 39310174126080.

The previous prime is 153086222404757. The next prime is 153086222404853. The reversal of 153086222404800 is 8404222680351.

153086222404800 is a `hidden beast` number, since 1 + 5 + 30 + 86 + 2 + 22 + 40 + 480 + 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 71 ways as a sum of consecutive naturals, for example, 50200549 + ... + 53162651.

Almost surely, 2^{153086222404800} is an apocalyptic number.

153086222404800 is a gapful number since it is divisible by the number (10) 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 153086222404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282285614262288).

153086222404800 is an abundant number, since it is smaller than the sum of its proper divisors (411485006119776).

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

153086222404800 is a wasteful number, since it uses less digits than its factorization.

153086222404800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2962265 (or 2962247 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 153086222404800 in words is "one hundred fifty-three trillion, eighty-six billion, two hundred twenty-two million, four hundred four thousand, eight hundred".