88451482201600 has 480 divisors, whose sum is σ = 274328846383680. Its totient is φ = 27558095093760.

The previous prime is 88451482201561. The next prime is 88451482201601. The reversal of 88451482201600 is 610228415488.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88451482201601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43171602 + ... + 45173998.

It is an arithmetic number, because the mean of its divisors is an integer number (571518429966).

Almost surely, 2^{88451482201600} is an apocalyptic number.

88451482201600 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 88451482201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137164423191840).

88451482201600 is an abundant number, since it is smaller than the sum of its proper divisors (185877364182080).

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

88451482201600 is a wasteful number, since it uses less digits than its factorization.

88451482201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002478 (or 2002457 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 49.

The spelling of 88451482201600 in words is "eighty-eight trillion, four hundred fifty-one billion, four hundred eighty-two million, two hundred one thousand, six hundred".