1982975155200 has 1188 divisors, whose sum is σ = 7768014029568. Its totient is φ = 483065856000.

The previous prime is 1982975155193. The next prime is 1982975155243. The reversal of 1982975155200 is 25515792891.

1982975155200 is a `hidden beast` number, since 1 + 9 + 82 + 9 + 7 + 5 + 1 + 552 + 0 + 0 = 666.

It is a super-2 number, since 2×1982975155200² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4945075000 + ... + 4945075400.

Almost surely, 2^{1982975155200} is an apocalyptic number.

1982975155200 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 1982975155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3884007014784).

1982975155200 is an abundant number, since it is smaller than the sum of its proper divisors (5785038874368).

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

1982975155200 is a wasteful number, since it uses less digits than its factorization.

1982975155200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 54.

The spelling of 1982975155200 in words is "one trillion, nine hundred eighty-two billion, nine hundred seventy-five million, one hundred fifty-five thousand, two hundred".