61500235123340 has 192 divisors, whose sum is σ = 142042221965952. Its totient is φ = 22227067699200.

The previous prime is 61500235123307. The next prime is 61500235123367. The reversal of 61500235123340 is 4332153200516.

It is a happy number.

It is a super-2 number, since 2×61500235123340² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61500235123340.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15033054695 + ... + 15033058785.

It is an arithmetic number, because the mean of its divisors is an integer number (739803239406).

Almost surely, 2^{61500235123340} 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 61500235123340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71021110982976).

61500235123340 is an abundant number, since it is smaller than the sum of its proper divisors (80541986842612).

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

61500235123340 is a wasteful number, since it uses less digits than its factorization.

61500235123340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6460 (or 6458 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

Adding to 61500235123340 its reverse (4332153200516), we get a palindrome (65832388323856).

The spelling of 61500235123340 in words is "sixty-one trillion, five hundred billion, two hundred thirty-five million, one hundred twenty-three thousand, three hundred forty".