155856548390400 has 5760 divisors, whose sum is σ = 721890011082240. Its totient is φ = 32774160384000.

The previous prime is 155856548390321. The next prime is 155856548390407. The reversal of 155856548390400 is 4093845658551.

155856548390400 is a `hidden beast` number, since 1 + 5 + 5 + 8 + 5 + 65 + 4 + 83 + 90 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155856548390407) 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 575 ways as a sum of consecutive naturals, for example, 554649638260 + ... + 554649638540.

It is an arithmetic number, because the mean of its divisors is an integer number (125328126924).

Almost surely, 2^{155856548390400} is an apocalyptic number.

155856548390400 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 155856548390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360945005541120).

155856548390400 is an abundant number, since it is smaller than the sum of its proper divisors (566033462691840).

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

155856548390400 is a wasteful number, since it uses less digits than its factorization.

155856548390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 103680000, while the sum is 63.

The spelling of 155856548390400 in words is "one hundred fifty-five trillion, eight hundred fifty-six billion, five hundred forty-eight million, three hundred ninety thousand, four hundred".