88506286517952 has 896 divisors, whose sum is σ = 294045583104000. Its totient is φ = 25968054435840.

The previous prime is 88506286517903. The next prime is 88506286518017. The reversal of 88506286517952 is 25971568260588.

It is a happy number.

88506286517952 is a `hidden beast` number, since 8 + 8 + 50 + 6 + 2 + 8 + 6 + 517 + 9 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7213808074 + ... + 7213820342.

It is an arithmetic number, because the mean of its divisors is an integer number (328175874000).

Almost surely, 2^{88506286517952} is an apocalyptic number.

88506286517952 is a gapful number since it is divisible by the number (82) 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 88506286517952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147022791552000).

88506286517952 is an abundant number, since it is smaller than the sum of its proper divisors (205539296586048).

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

88506286517952 is a wasteful number, since it uses less digits than its factorization.

88506286517952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12606 (or 12590 counting only the distinct ones).

The product of its (nonzero) digits is 580608000, while the sum is 72.

The spelling of 88506286517952 in words is "eighty-eight trillion, five hundred six billion, two hundred eighty-six million, five hundred seventeen thousand, nine hundred fifty-two".