73053945881280 has 2688 divisors, whose sum is σ = 325578996288000. Its totient is φ = 15019322572800.

The previous prime is 73053945881263. The next prime is 73053945881339. The reversal of 73053945881280 is 8218854935037.

73053945881280 is a `hidden beast` number, since 7 + 3 + 0 + 5 + 39 + 4 + 588 + 12 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 88981663270 + ... + 88981664090.

It is an arithmetic number, because the mean of its divisors is an integer number (121123138500).

Almost surely, 2^{73053945881280} is an apocalyptic number.

73053945881280 is a gapful number since it is divisible by the number (70) 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 73053945881280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162789498144000).

73053945881280 is an abundant number, since it is smaller than the sum of its proper divisors (252525050406720).

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

73053945881280 is a wasteful number, since it uses less digits than its factorization.

73053945881280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 73053945881280 in words is "seventy-three trillion, fifty-three billion, nine hundred forty-five million, eight hundred eighty-one thousand, two hundred eighty".