61181952000 has 512 divisors, whose sum is σ = 219845283840. Its totient is φ = 15020851200.

The previous prime is 61181951993. The next prime is 61181952011. The reversal of 61181952000 is 25918116.

It is a tau number, because it is divible by the number of its divisors (512).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159743809 + ... + 159744191.

It is an arithmetic number, because the mean of its divisors is an integer number (429385320).

Almost surely, 2^61181952000 is an apocalyptic number.

61181952000 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 61181952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109922641920).

61181952000 is an abundant number, since it is smaller than the sum of its proper divisors (158663331840).

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

61181952000 is an equidigital number, since it uses as much as digits as its factorization.

61181952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 33.

The spelling of 61181952000 in words is "sixty-one billion, one hundred eighty-one million, nine hundred fifty-two thousand".