88292491560 has 640 divisors, whose sum is σ = 384491923200. Its totient is φ = 17647165440.

The previous prime is 88292491519. The next prime is 88292491561. The reversal of 88292491560 is 6519429288.

It is a happy number.

88292491560 is a `hidden beast` number, since 8 + 8 + 2 + 92 + 491 + 5 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 88292491497 and 88292491506.

It is not an unprimeable number, because it can be changed into a prime (88292491561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5594080 + ... + 5609840.

It is an arithmetic number, because the mean of its divisors is an integer number (600768630).

Almost surely, 2^88292491560 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 88292491560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192245961600).

88292491560 is an abundant number, since it is smaller than the sum of its proper divisors (296199431640).

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

88292491560 is a wasteful number, since it uses less digits than its factorization.

88292491560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15823 (or 15810 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 88292491560 in words is "eighty-eight billion, two hundred ninety-two million, four hundred ninety-one thousand, five hundred sixty".