1906291195200 has 1680 divisors, whose sum is σ = 8366795990784. Its totient is φ = 416644300800.

The previous prime is 1906291195189. The next prime is 1906291195223. The reversal of 1906291195200 is 25911926091.

1906291195200 is a `hidden beast` number, since 1 + 9 + 0 + 6 + 2 + 9 + 119 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×1906291195200² (a number of 25 digits) contains 22 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 an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1971345117 + ... + 1971346083.

Almost surely, 2^{1906291195200} is an apocalyptic number.

1906291195200 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 1906291195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4183397995392).

1906291195200 is an abundant number, since it is smaller than the sum of its proper divisors (6460504795584).

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

1906291195200 is a wasteful number, since it uses less digits than its factorization.

1906291195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The spelling of 1906291195200 in words is "one trillion, nine hundred six billion, two hundred ninety-one million, one hundred ninety-five thousand, two hundred".