61909135260 has 288 divisors, whose sum is σ = 214962048000. Its totient is φ = 13235249664.

The previous prime is 61909135231. The next prime is 61909135283. The reversal of 61909135260 is 6253190916.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4405926 + ... + 4419954.

It is an arithmetic number, because the mean of its divisors is an integer number (746396000).

Almost surely, 2^61909135260 is an apocalyptic number.

61909135260 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 61909135260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107481024000).

61909135260 is an abundant number, since it is smaller than the sum of its proper divisors (153052912740).

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

61909135260 is a wasteful number, since it uses less digits than its factorization.

61909135260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14153 (or 14144 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The spelling of 61909135260 in words is "sixty-one billion, nine hundred nine million, one hundred thirty-five thousand, two hundred sixty".