61392240000 has 960 divisors, whose sum is σ = 271991559840. Its totient is φ = 12939264000.

The previous prime is 61392239981. The next prime is 61392240017. The reversal of 61392240000 is 4229316.

61392240000 is a `hidden beast` number, since 613 + 9 + 2 + 2 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 65519532 + ... + 65520468.

Almost surely, 2^61392240000 is an apocalyptic number.

61392240000 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 61392240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135995779920).

61392240000 is an abundant number, since it is smaller than the sum of its proper divisors (210599319840).

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

61392240000 is a wasteful number, since it uses less digits than its factorization.

61392240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 61392240000 its reverse (4229316), we get a palindrome (61396469316).

The spelling of 61392240000 in words is "sixty-one billion, three hundred ninety-two million, two hundred forty thousand".