1981362675600 has 1200 divisors, whose sum is σ = 8905375733760. Its totient is φ = 409865702400.

The previous prime is 1981362675587. The next prime is 1981362675613. The reversal of 1981362675600 is 65762631891.

1981362675600 is a `hidden beast` number, since 1 + 9 + 8 + 1 + 3 + 6 + 26 + 7 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (1981362675587) and next prime (1981362675613).

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-3 number, since 3×1981362675600³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 596255539 + ... + 596258861.

Almost surely, 2^{1981362675600} is an apocalyptic number.

1981362675600 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 1981362675600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4452687866880).

1981362675600 is an abundant number, since it is smaller than the sum of its proper divisors (6924013058160).

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

1981362675600 is a wasteful number, since it uses less digits than its factorization.

1981362675600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3610 (or 3590 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1981362675600 in words is "one trillion, nine hundred eighty-one billion, three hundred sixty-two million, six hundred seventy-five thousand, six hundred".