155749324166400 has 216 divisors, whose sum is σ = 514639060860064. Its totient is φ = 41481936691200.

The previous prime is 155749324166369. The next prime is 155749324166407. The reversal of 155749324166400 is 4661423947551.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155749324166407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10570002 + ... + 20572398.

Almost surely, 2^{155749324166400} is an apocalyptic number.

155749324166400 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 155749324166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257319530430032).

155749324166400 is an abundant number, since it is smaller than the sum of its proper divisors (358889736693664).

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

155749324166400 is a wasteful number, since it uses less digits than its factorization.

155749324166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10003237 (or 10003218 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 57.

The spelling of 155749324166400 in words is "one hundred fifty-five trillion, seven hundred forty-nine billion, three hundred twenty-four million, one hundred sixty-six thousand, four hundred".