575561557113900 has 432 divisors, whose sum is σ = 1932556970937600. Its totient is φ = 129557377635840.

The previous prime is 575561557113887. The next prime is 575561557113937. The reversal of 575561557113900 is 9311755165575.

It is a super-2 number, since 2×575561557113900² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48821909206 + ... + 48821920994.

It is an arithmetic number, because the mean of its divisors is an integer number (4473511506800).

Almost surely, 2^{575561557113900} is an apocalyptic number.

575561557113900 is a gapful number since it is divisible by the number (50) 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 575561557113900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966278485468800).

575561557113900 is an abundant number, since it is smaller than the sum of its proper divisors (1356995413823700).

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

575561557113900 is a wasteful number, since it uses less digits than its factorization.

575561557113900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17126 (or 17052 counting only the distinct ones).

The product of its (nonzero) digits is 24806250, while the sum is 60.

The spelling of 575561557113900 in words is "five hundred seventy-five trillion, five hundred sixty-one billion, five hundred fifty-seven million, one hundred thirteen thousand, nine hundred".