61164589200 has 480 divisors, whose sum is σ = 230997215232. Its totient is φ = 13638912000.

The previous prime is 61164589169. The next prime is 61164589249. The reversal of 61164589200 is 298546116.

It is a super-2 number, since 2×61164589200² (a number of 22 digits) contains 22 as substring.

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, 73959187 + ... + 73960013.

Almost surely, 2^61164589200 is an apocalyptic number.

61164589200 is a gapful number since it is divisible by the number (60) 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 61164589200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115498607616).

61164589200 is an abundant number, since it is smaller than the sum of its proper divisors (169832626032).

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

61164589200 is a wasteful number, since it uses less digits than its factorization.

61164589200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 61164589200 in words is "sixty-one billion, one hundred sixty-four million, five hundred eighty-nine thousand, two hundred".