61340882803200 has 2880 divisors, whose sum is σ = 295597902023424. Its totient is φ = 11731599360000.

The previous prime is 61340882803141. The next prime is 61340882803217. The reversal of 61340882803200 is 230828804316.

61340882803200 is a `hidden beast` number, since 6 + 1 + 3 + 40 + 8 + 8 + 280 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 60079218690 + ... + 60079219710.

Almost surely, 2^{61340882803200} is an apocalyptic number.

61340882803200 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 61340882803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147798951011712).

61340882803200 is an abundant number, since it is smaller than the sum of its proper divisors (234257019220224).

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

61340882803200 is a wasteful number, since it uses less digits than its factorization.

61340882803200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 61340882803200 in words is "sixty-one trillion, three hundred forty billion, eight hundred eighty-two million, eight hundred three thousand, two hundred".