150196550400 has 2592 divisors, whose sum is σ = 697470359040. Its totient is φ = 31531991040.

The previous prime is 150196550351. The next prime is 150196550401. The reversal of 150196550400 is 4055691051.

150196550400 is a `hidden beast` number, since 1 + 50 + 19 + 6 + 550 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (150196550401) 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 287 ways as a sum of consecutive naturals, for example, 6530284789 + ... + 6530284811.

Almost surely, 2^150196550400 is an apocalyptic number.

150196550400 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 150196550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348735179520).

150196550400 is an abundant number, since it is smaller than the sum of its proper divisors (547273808640).

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

150196550400 is a wasteful number, since it uses less digits than its factorization.

150196550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 150196550400 in words is "one hundred fifty billion, one hundred ninety-six million, five hundred fifty thousand, four hundred".