87827151753 has 48 divisors (see below), whose sum is σ = 140767990272. Its totient is φ = 52316928000.

The previous prime is 87827151751. The next prime is 87827151757. The reversal of 87827151753 is 35715172878.

87827151753 is a `hidden beast` number, since 8 + 7 + 8 + 2 + 71 + 517 + 53 = 666.

It is not a de Polignac number, because 87827151753 - 2¹ = 87827151751 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 87827151753.

It is not an unprimeable number, because it can be changed into a prime (87827151751) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9458473 + ... + 9467753.

It is an arithmetic number, because the mean of its divisors is an integer number (2932666464).

Almost surely, 2^87827151753 is an apocalyptic number.

It is an amenable number.

87827151753 is a deficient number, since it is larger than the sum of its proper divisors (52940838519).

87827151753 is a wasteful number, since it uses less digits than its factorization.

87827151753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10926 (or 10923 counting only the distinct ones).

The product of its digits is 3292800, while the sum is 54.

The spelling of 87827151753 in words is "eighty-seven billion, eight hundred twenty-seven million, one hundred fifty-one thousand, seven hundred fifty-three".