156668450400 has 1440 divisors, whose sum is σ = 754628700672. Its totient is φ = 30622924800.

The previous prime is 156668450387. The next prime is 156668450401. The reversal of 156668450400 is 4054866651.

156668450400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-5 number, since 5×156668450400⁵ (a number of 57 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156668450401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 84822277 + ... + 84824123.

Almost surely, 2^156668450400 is an apocalyptic number.

156668450400 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 156668450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377314350336).

156668450400 is an abundant number, since it is smaller than the sum of its proper divisors (597960250272).

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

156668450400 is a wasteful number, since it uses less digits than its factorization.

156668450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 156668450400 in words is "one hundred fifty-six billion, six hundred sixty-eight million, four hundred fifty thousand, four hundred".