61126082423640 has 768 divisors, whose sum is σ = 231091874657280. Its totient is φ = 13900133744640.

The previous prime is 61126082423621. The next prime is 61126082423663. The reversal of 61126082423640 is 4632428062116.

61126082423640 is a `hidden beast` number, since 6 + 1 + 1 + 2 + 608 + 2 + 4 + 2 + 36 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 284394454 + ... + 284609306.

It is an arithmetic number, because the mean of its divisors is an integer number (300900878460).

Almost surely, 2^{61126082423640} is an apocalyptic number.

61126082423640 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 61126082423640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115545937328640).

61126082423640 is an abundant number, since it is smaller than the sum of its proper divisors (169965792233640).

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

61126082423640 is a wasteful number, since it uses less digits than its factorization.

61126082423640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215004 (or 214997 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 61126082423640 in words is "sixty-one trillion, one hundred twenty-six billion, eighty-two million, four hundred twenty-three thousand, six hundred forty".