78687141120 has 1728 divisors, whose sum is σ = 363340131840. Its totient is φ = 15734145024.

The previous prime is 78687141089. The next prime is 78687141131. The reversal of 78687141120 is 2114178687.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1484663014 + ... + 1484663066.

It is an arithmetic number, because the mean of its divisors is an integer number (210266280).

Almost surely, 2^78687141120 is an apocalyptic number.

78687141120 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 78687141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181670065920).

78687141120 is an abundant number, since it is smaller than the sum of its proper divisors (284652990720).

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

78687141120 is a wasteful number, since it uses less digits than its factorization.

78687141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 78687141120 in words is "seventy-eight billion, six hundred eighty-seven million, one hundred forty-one thousand, one hundred twenty".