87462472710144 has 1152 divisors, whose sum is σ = 295899065280000. Its totient is φ = 22900294287360.

The previous prime is 87462472710091. The next prime is 87462472710167. The reversal of 87462472710144 is 44101727426478.

87462472710144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38478869392 + ... + 38478871664.

It is an arithmetic number, because the mean of its divisors is an integer number (256856827500).

Almost surely, 2^{87462472710144} is an apocalyptic number.

87462472710144 is a gapful number since it is divisible by the number (84) 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 87462472710144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147949532640000).

87462472710144 is an abundant number, since it is smaller than the sum of its proper divisors (208436592569856).

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

87462472710144 is a wasteful number, since it uses less digits than its factorization.

87462472710144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 16859136, while the sum is 57.

The spelling of 87462472710144 in words is "eighty-seven trillion, four hundred sixty-two billion, four hundred seventy-two million, seven hundred ten thousand, one hundred forty-four".