61241260800 has 216 divisors, whose sum is σ = 202395007696. Its totient is φ = 16307896320.

The previous prime is 61241260727. The next prime is 61241260831. The reversal of 61241260800 is 806214216.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16836582 + ... + 16840218.

Almost surely, 2^61241260800 is an apocalyptic number.

61241260800 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 61241260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101197503848).

61241260800 is an abundant number, since it is smaller than the sum of its proper divisors (141153746896).

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

61241260800 is a wasteful number, since it uses less digits than its factorization.

61241260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4543 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 61241260800 in words is "sixty-one billion, two hundred forty-one million, two hundred sixty thousand, eight hundred".