87263574921432 has 288 divisors, whose sum is σ = 292508682036480. Its totient is φ = 23012061845760.

The previous prime is 87263574921361. The next prime is 87263574921443. The reversal of 87263574921432 is 23412947536278.

It is a happy number.

87263574921432 is a `hidden beast` number, since 8 + 7 + 2 + 6 + 3 + 574 + 9 + 21 + 4 + 32 = 666.

It is a super-2 number, since 2×87263574921432² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 87263574921432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 859460253 + ... + 859561779.

It is an arithmetic number, because the mean of its divisors is an integer number (1015655145960).

Almost surely, 2^{87263574921432} 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 87263574921432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146254341018240).

87263574921432 is an abundant number, since it is smaller than the sum of its proper divisors (205245107115048).

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

87263574921432 is a wasteful number, since it uses less digits than its factorization.

87263574921432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111663 (or 111643 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 63.

The spelling of 87263574921432 in words is "eighty-seven trillion, two hundred sixty-three billion, five hundred seventy-four million, nine hundred twenty-one thousand, four hundred thirty-two".