61948293120 has 936 divisors, whose sum is σ = 263660426640. Its totient is φ = 13414367232.

The previous prime is 61948293089. The next prime is 61948293133. The reversal of 61948293120 is 2139284916.

61948293120 is a `hidden beast` number, since 61 + 9 + 482 + 93 + 1 + 20 = 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 71 ways as a sum of consecutive naturals, for example, 3260436471 + ... + 3260436489.

It is an arithmetic number, because the mean of its divisors is an integer number (281688490).

Almost surely, 2^61948293120 is an apocalyptic number.

61948293120 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 61948293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131830213320).

61948293120 is an abundant number, since it is smaller than the sum of its proper divisors (201712133520).

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

61948293120 is an equidigital number, since it uses as much as digits as its factorization.

61948293120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 61948293120 in words is "sixty-one billion, nine hundred forty-eight million, two hundred ninety-three thousand, one hundred twenty".