1332951795000 has 1600 divisors, whose sum is σ = 5704533964800. Its totient is φ = 284135040000.

The previous prime is 1332951794963. The next prime is 1332951795041. The reversal of 1332951795000 is 5971592331.

1332951795000 is a `hidden beast` number, since 1 + 3 + 3 + 29 + 51 + 79 + 500 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 399 ways as a sum of consecutive naturals, for example, 2548664739 + ... + 2548665261.

It is an arithmetic number, because the mean of its divisors is an integer number (3565333728).

Almost surely, 2^{1332951795000} is an apocalyptic number.

1332951795000 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 1332951795000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2852266982400).

1332951795000 is an abundant number, since it is smaller than the sum of its proper divisors (4371582169800).

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

1332951795000 is a wasteful number, since it uses less digits than its factorization.

1332951795000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The spelling of 1332951795000 in words is "one trillion, three hundred thirty-two billion, nine hundred fifty-one million, seven hundred ninety-five thousand".