61161894763200 has 6048 divisors, whose sum is σ = 308862102274560. Its totient is φ = 11431839744000.

The previous prime is 61161894763199. The next prime is 61161894763213. The reversal of 61161894763200 is 236749816116.

61161894763200 is a `hidden beast` number, since 6 + 1 + 1 + 61 + 89 + 476 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

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

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 1153998014374 + ... + 1153998014426.

Almost surely, 2^{61161894763200} is an apocalyptic number.

61161894763200 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 61161894763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154431051137280).

61161894763200 is an abundant number, since it is smaller than the sum of its proper divisors (247700207511360).

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

61161894763200 is a wasteful number, since it uses less digits than its factorization.

61161894763200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 61161894763200 in words is "sixty-one trillion, one hundred sixty-one billion, eight hundred ninety-four million, seven hundred sixty-three thousand, two hundred".