88571746742000 has 80 divisors (see below), whose sum is σ = 214690120039200. Its totient is φ = 35342075635200.

The previous prime is 88571746741991. The next prime is 88571746742009. The reversal of 88571746742000 is 24764717588.

It is an interprime number because it is at equal distance from previous prime (88571746741991) and next prime (88571746742009).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×88571746742000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88571746742009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53321210 + ... + 54957209.

It is an arithmetic number, because the mean of its divisors is an integer number (2683626500490).

Almost surely, 2^{88571746742000} is an apocalyptic number.

88571746742000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88571746742000 is an abundant number, since it is smaller than the sum of its proper divisors (126118373297200).

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

88571746742000 is a wasteful number, since it uses less digits than its factorization.

88571746742000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108278851 (or 108278835 counting only the distinct ones).

The product of its (nonzero) digits is 21073920, while the sum is 59.

The spelling of 88571746742000 in words is "eighty-eight trillion, five hundred seventy-one billion, seven hundred forty-six million, seven hundred forty-two thousand".