87127374200832 has 3072 divisors, whose sum is σ = 338928145920000. Its totient is φ = 22248972877824.

The previous prime is 87127374200777. The next prime is 87127374200833. The reversal of 87127374200832 is 23800247372178.

87127374200832 is a `hidden beast` number, since 8 + 71 + 2 + 73 + 7 + 420 + 0 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87127374200833) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1193525673948 + ... + 1193525674020.

It is an arithmetic number, because the mean of its divisors is an integer number (110328172500).

Almost surely, 2^{87127374200832} 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 87127374200832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169464072960000).

87127374200832 is an abundant number, since it is smaller than the sum of its proper divisors (251800771719168).

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

87127374200832 is an frugal number, since it uses more digits than its factorization.

87127374200832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 87127374200832 in words is "eighty-seven trillion, one hundred twenty-seven billion, three hundred seventy-four million, two hundred thousand, eight hundred thirty-two".