61213108320 has 768 divisors, whose sum is σ = 269378887680. Its totient is φ = 12636684288.

The previous prime is 61213108301. The next prime is 61213108351. The reversal of 61213108320 is 2380131216.

It is a happy number.

61213108320 is a `hidden beast` number, since 6 + 1 + 21 + 310 + 8 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18474984 + ... + 18478296.

It is an arithmetic number, because the mean of its divisors is an integer number (350753760).

Almost surely, 2^61213108320 is an apocalyptic number.

61213108320 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 61213108320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134689443840).

61213108320 is an abundant number, since it is smaller than the sum of its proper divisors (208165779360).

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

61213108320 is a wasteful number, since it uses less digits than its factorization.

61213108320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3404 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 61213108320 its reverse (2380131216), we get a palindrome (63593239536).

The spelling of 61213108320 in words is "sixty-one billion, two hundred thirteen million, one hundred eight thousand, three hundred twenty".