78150041488640 has 288 divisors, whose sum is σ = 208121481824256. Its totient is φ = 27879224647680.

The previous prime is 78150041488633. The next prime is 78150041488661. The reversal of 78150041488640 is 4688414005187.

It is a super-2 number, since 2×78150041488640² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154923869 + ... + 155427491.

It is an arithmetic number, because the mean of its divisors is an integer number (722644034112).

Almost surely, 2^{78150041488640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78150041488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104060740912128).

78150041488640 is an abundant number, since it is smaller than the sum of its proper divisors (129971440335616).

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

78150041488640 is a wasteful number, since it uses less digits than its factorization.

78150041488640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503865 (or 503851 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 56.

The spelling of 78150041488640 in words is "seventy-eight trillion, one hundred fifty billion, forty-one million, four hundred eighty-eight thousand, six hundred forty".