88574876470080 has 2688 divisors, whose sum is σ = 425791850545152. Its totient is φ = 16439334912000.

The previous prime is 88574876469983. The next prime is 88574876470099. The reversal of 88574876470080 is 8007467847588.

It is a happy number.

88574876470080 is a `hidden beast` number, since 8 + 8 + 5 + 7 + 4 + 8 + 76 + 470 + 0 + 80 = 666.

It is a super-2 number, since 2×88574876470080² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 88574876469990 and 88574876470008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10813678785 + ... + 10813686975.

It is an arithmetic number, because the mean of its divisors is an integer number (158404706304).

Almost surely, 2^{88574876470080} is an apocalyptic number.

88574876470080 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 88574876470080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212895925272576).

88574876470080 is an abundant number, since it is smaller than the sum of its proper divisors (337216974075072).

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

88574876470080 is a wasteful number, since it uses less digits than its factorization.

88574876470080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8298 (or 8263 counting only the distinct ones).

The product of its (nonzero) digits is 674365440, while the sum is 72.

The spelling of 88574876470080 in words is "eighty-eight trillion, five hundred seventy-four billion, eight hundred seventy-six million, four hundred seventy thousand, eighty".