61040915980800 has 1440 divisors, whose sum is σ = 245889037969344. Its totient is φ = 13294632960000.

The previous prime is 61040915980799. The next prime is 61040915980801. The reversal of 61040915980800 is 808951904016.

It is an interprime number because it is at equal distance from previous prime (61040915980799) and next prime (61040915980801).

It is not an unprimeable number, because it can be changed into a prime (61040915980801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3317251600 + ... + 3317270000.

Almost surely, 2^{61040915980800} is an apocalyptic number.

61040915980800 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 61040915980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122944518984672).

61040915980800 is an abundant number, since it is smaller than the sum of its proper divisors (184848121988544).

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

61040915980800 is a wasteful number, since it uses less digits than its factorization.

61040915980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18530 (or 18502 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 51.

The spelling of 61040915980800 in words is "sixty-one trillion, forty billion, nine hundred fifteen million, nine hundred eighty thousand, eight hundred".