88724451994560 has 336 divisors, whose sum is σ = 307090996744896. Its totient is φ = 23511402233856.

The previous prime is 88724451994517. The next prime is 88724451994561. The reversal of 88724451994560 is 6549915442788.

It is a happy number.

88724451994560 is a `hidden beast` number, since 8 + 8 + 7 + 2 + 4 + 4 + 51 + 9 + 9 + 4 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88724451994561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1795398972 + ... + 1795448388.

It is an arithmetic number, because the mean of its divisors is an integer number (913961299836).

Almost surely, 2^{88724451994560} is an apocalyptic number.

88724451994560 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 88724451994560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153545498372448).

88724451994560 is an abundant number, since it is smaller than the sum of its proper divisors (218366544750336).

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

88724451994560 is a wasteful number, since it uses less digits than its factorization.

88724451994560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53340 (or 53327 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 88724451994560 in words is "eighty-eight trillion, seven hundred twenty-four billion, four hundred fifty-one million, nine hundred ninety-four thousand, five hundred sixty".