61111961948160 has 208 divisors, whose sum is σ = 217260453492480. Its totient is φ = 16296523038720.

The previous prime is 61111961948117. The next prime is 61111961948183. The reversal of 61111961948160 is 6184916911116.

It is a happy number.

61111961948160 is a `hidden beast` number, since 6 + 1 + 1 + 1 + 1 + 9 + 619 + 4 + 8 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 61111961948097 and 61111961948106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54705976 + ... + 55811895.

Almost surely, 2^{61111961948160} is an apocalyptic number.

61111961948160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61111961948160 is an abundant number, since it is smaller than the sum of its proper divisors (156148491544320).

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

61111961948160 is a wasteful number, since it uses less digits than its factorization.

61111961948160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110517909 (or 110517881 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 54.

The spelling of 61111961948160 in words is "sixty-one trillion, one hundred eleven billion, nine hundred sixty-one million, nine hundred forty-eight thousand, one hundred sixty".