61520191200000 has 2592 divisors, whose sum is σ = 259481967091200. Its totient is φ = 14330234880000.

The previous prime is 61520191199993. The next prime is 61520191200011. The reversal of 61520191200000 is 219102516.

61520191200000 is a `hidden beast` number, since 6 + 1 + 520 + 19 + 120 + 0 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 69357599557 + ... + 69357600443.

It is an arithmetic number, because the mean of its divisors is an integer number (100108783600).

Almost surely, 2^{61520191200000} is an apocalyptic number.

61520191200000 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 61520191200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129740983545600).

61520191200000 is an abundant number, since it is smaller than the sum of its proper divisors (197961775891200).

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

61520191200000 is an equidigital number, since it uses as much as digits as its factorization.

61520191200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 61520191200000 in words is "sixty-one trillion, five hundred twenty billion, one hundred ninety-one million, two hundred thousand".