88951746723840 has 4864 divisors, whose sum is σ = 443755174625280. Its totient is φ = 16511297126400.

The previous prime is 88951746723787. The next prime is 88951746723881. The reversal of 88951746723840 is 4832764715988.

It is a happy number.

88951746723840 is a `hidden beast` number, since 8 + 8 + 9 + 5 + 174 + 6 + 72 + 384 + 0 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2869411184625 + ... + 2869411184655.

It is a 1-persistent number, because it is pandigital, but 2⋅88951746723840 = 177903493447680 is not.

Almost surely, 2^{88951746723840} is an apocalyptic number.

88951746723840 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 88951746723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221877587312640).

88951746723840 is an abundant number, since it is smaller than the sum of its proper divisors (354803427901440).

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

88951746723840 is an frugal number, since it uses more digits than its factorization.

88951746723840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 88951746723840 in words is "eighty-eight trillion, nine hundred fifty-one billion, seven hundred forty-six million, seven hundred twenty-three thousand, eight hundred forty".