155824401780432 has 1440 divisors, whose sum is σ = 590242822041600. Its totient is φ = 38909012567040.

The previous prime is 155824401780371. The next prime is 155824401780497. The reversal of 155824401780432 is 234087104428551.

155824401780432 is a `hidden beast` number, since 1 + 5 + 5 + 82 + 4 + 40 + 17 + 80 + 432 = 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 (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 22824722203 + ... + 22824729029.

It is an arithmetic number, because the mean of its divisors is an integer number (409890848640).

Almost surely, 2^{155824401780432} is an apocalyptic number.

155824401780432 is a gapful number since it is divisible by the number (12) 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 155824401780432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295121411020800).

155824401780432 is an abundant number, since it is smaller than the sum of its proper divisors (434418420261168).

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

155824401780432 is a wasteful number, since it uses less digits than its factorization.

155824401780432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7147 (or 7118 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 155824401780432 in words is "one hundred fifty-five trillion, eight hundred twenty-four billion, four hundred one million, seven hundred eighty thousand, four hundred thirty-two".