200977145600 has 1080 divisors, whose sum is σ = 670884091920. Its totient is φ = 59006976000.

The previous prime is 200977145597. The next prime is 200977145617. The reversal of 200977145600 is 6541779002.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4901881580 + ... + 4901881620.

It is an arithmetic number, because the mean of its divisors is an integer number (621188974).

Almost surely, 2^200977145600 is an apocalyptic number.

200977145600 is a gapful number since it is divisible by the number (20) 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 200977145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335442045960).

200977145600 is an abundant number, since it is smaller than the sum of its proper divisors (469906946320).

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

200977145600 is an equidigital number, since it uses as much as digits as its factorization.

200977145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 41.

The spelling of 200977145600 in words is "two hundred billion, nine hundred seventy-seven million, one hundred forty-five thousand, six hundred".