1952985361600 has 672 divisors, whose sum is σ = 6002835238400. Its totient is φ = 612566323200.

The previous prime is 1952985361543. The next prime is 1952985361601. The reversal of 1952985361600 is 61635892591.

It is not an unprimeable number, because it can be changed into a prime (1952985361601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3420289315 + ... + 3420289885.

Almost surely, 2^{1952985361600} is an apocalyptic number.

1952985361600 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 1952985361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3001417619200).

1952985361600 is an abundant number, since it is smaller than the sum of its proper divisors (4049849876800).

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

1952985361600 is a wasteful number, since it uses less digits than its factorization.

1952985361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 55.

The spelling of 1952985361600 in words is "one trillion, nine hundred fifty-two billion, nine hundred eighty-five million, three hundred sixty-one thousand, six hundred".