7871135036544 has 1536 divisors, whose sum is σ = 27544817664000. Its totient is φ = 2218526392320.

The previous prime is 7871135036533. The next prime is 7871135036587. The reversal of 7871135036544 is 4456305311787.

7871135036544 is a `hidden beast` number, since 7 + 8 + 7 + 1 + 13 + 50 + 36 + 544 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 21447234249 + ... + 21447234615.

It is an arithmetic number, because the mean of its divisors is an integer number (17932824000).

Almost surely, 2^{7871135036544} 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 7871135036544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13772408832000).

7871135036544 is an abundant number, since it is smaller than the sum of its proper divisors (19673682627456).

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

7871135036544 is a wasteful number, since it uses less digits than its factorization.

7871135036544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 7871135036544 in words is "seven trillion, eight hundred seventy-one billion, one hundred thirty-five million, thirty-six thousand, five hundred forty-four".