199752077700 has 288 divisors, whose sum is σ = 737152819200. Its totient is φ = 45455506560.

The previous prime is 199752077699. The next prime is 199752077719. The reversal of 199752077700 is 7770257991.

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 95 ways as a sum of consecutive naturals, for example, 4267021 + ... + 4313579.

It is an arithmetic number, because the mean of its divisors is an integer number (2559558400).

Almost surely, 2^199752077700 is an apocalyptic number.

199752077700 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 199752077700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368576409600).

199752077700 is an abundant number, since it is smaller than the sum of its proper divisors (537400741500).

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

199752077700 is a wasteful number, since it uses less digits than its factorization.

199752077700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46816 (or 46803 counting only the distinct ones).

The product of its (nonzero) digits is 1944810, while the sum is 54.

The spelling of 199752077700 in words is "one hundred ninety-nine billion, seven hundred fifty-two million, seventy-seven thousand, seven hundred".