61126140732160 has 432 divisors, whose sum is σ = 176097282342912. Its totient is φ = 20248936243200.

The previous prime is 61126140732121. The next prime is 61126140732161. The reversal of 61126140732160 is 6123704162116.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (61126140732161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1226841009 + ... + 1226890831.

It is an arithmetic number, because the mean of its divisors is an integer number (407632598016).

Almost surely, 2^{61126140732160} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61126140732160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88048641171456).

61126140732160 is an abundant number, since it is smaller than the sum of its proper divisors (114971141610752).

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

61126140732160 is a wasteful number, since it uses less digits than its factorization.

61126140732160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50520 (or 50499 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

Adding to 61126140732160 its reverse (6123704162116), we get a palindrome (67249844894276).

The spelling of 61126140732160 in words is "sixty-one trillion, one hundred twenty-six billion, one hundred forty million, seven hundred thirty-two thousand, one hundred sixty".