155190886400 has 408 divisors, whose sum is σ = 429074025600. Its totient is φ = 55207526400.

The previous prime is 155190886379. The next prime is 155190886421. The reversal of 155190886400 is 4688091551.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (155190886379) and next prime (155190886421).

It is a super-2 number, since 2×155190886400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1423769546 + ... + 1423769654.

Almost surely, 2^155190886400 is an apocalyptic number.

155190886400 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 155190886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214537012800).

155190886400 is an abundant number, since it is smaller than the sum of its proper divisors (273883139200).

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

155190886400 is an equidigital number, since it uses as much as digits as its factorization.

155190886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 47.

The spelling of 155190886400 in words is "one hundred fifty-five billion, one hundred ninety million, eight hundred eighty-six thousand, four hundred".