155790632448000 has 1664 divisors, whose sum is σ = 633641249479680. Its totient is φ = 37762965504000.

The previous prime is 155790632447999. The next prime is 155790632448019. The reversal of 155790632448000 is 844236097551.

It is a happy number.

155790632448000 is a `hidden beast` number, since 1 + 5 + 57 + 90 + 6 + 3 + 24 + 480 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18399739767 + ... + 18399748233.

It is an arithmetic number, because the mean of its divisors is an integer number (380794020120).

It is a 1-persistent number, because it is pandigital, but 2⋅155790632448000 = 311581264896000 is not.

Almost surely, 2^{155790632448000} is an apocalyptic number.

155790632448000 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 155790632448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316820624739840).

155790632448000 is an abundant number, since it is smaller than the sum of its proper divisors (477850617031680).

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

155790632448000 is an frugal number, since it uses more digits than its factorization.

155790632448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8548 (or 8488 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 155790632448000 in words is "one hundred fifty-five trillion, seven hundred ninety billion, six hundred thirty-two million, four hundred forty-eight thousand".