155691248222400 has 336 divisors, whose sum is σ = 557380374622848. Its totient is φ = 37733359616000.

The previous prime is 155691248222387. The next prime is 155691248222407. The reversal of 155691248222400 is 4222842196551.

It is not an unprimeable number, because it can be changed into a prime (155691248222407) 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 47 ways as a sum of consecutive naturals, for example, 200410720 + ... + 201186080.

It is an arithmetic number, because the mean of its divisors is an integer number (1658870162568).

Almost surely, 2^{155691248222400} is an apocalyptic number.

155691248222400 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 155691248222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278690187311424).

155691248222400 is an abundant number, since it is smaller than the sum of its proper divisors (401689126400448).

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

155691248222400 is a wasteful number, since it uses less digits than its factorization.

155691248222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779200 (or 779185 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 155691248222400 in words is "one hundred fifty-five trillion, six hundred ninety-one billion, two hundred forty-eight million, two hundred twenty-two thousand, four hundred".