88054518139680 has 192 divisors, whose sum is σ = 281246821688448. Its totient is φ = 23155264634880.

The previous prime is 88054518139667. The next prime is 88054518139799. The reversal of 88054518139680 is 8693181545088.

It is a super-2 number, since 2×88054518139680² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6564915 + ... + 14805645.

It is an arithmetic number, because the mean of its divisors is an integer number (1464827196294).

Almost surely, 2^{88054518139680} is an apocalyptic number.

88054518139680 is a gapful number since it is divisible by the number (80) 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 88054518139680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140623410844224).

88054518139680 is an abundant number, since it is smaller than the sum of its proper divisors (193192303548768).

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

88054518139680 is a wasteful number, since it uses less digits than its factorization.

88054518139680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8241059 (or 8241051 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 66.

The spelling of 88054518139680 in words is "eighty-eight trillion, fifty-four billion, five hundred eighteen million, one hundred thirty-nine thousand, six hundred eighty".