87825722544 has 240 divisors, whose sum is σ = 290678728704. Its totient is φ = 24223795200.

The previous prime is 87825722533. The next prime is 87825722561. The reversal of 87825722544 is 44522752878.

It is a happy number.

87825722544 is a `hidden beast` number, since 8 + 7 + 8 + 2 + 572 + 25 + 44 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13527139 + ... + 13533629.

Almost surely, 2^87825722544 is an apocalyptic number.

87825722544 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 87825722544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145339364352).

87825722544 is an abundant number, since it is smaller than the sum of its proper divisors (202853006160).

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

87825722544 is a wasteful number, since it uses less digits than its factorization.

87825722544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6976 (or 6967 counting only the distinct ones).

The product of its digits is 10035200, while the sum is 54.

The spelling of 87825722544 in words is "eighty-seven billion, eight hundred twenty-five million, seven hundred twenty-two thousand, five hundred forty-four".