42588976953600 has 3456 divisors, whose sum is σ = 199321042636800. Its totient is φ = 8642632089600.

The previous prime is 42588976953569. The next prime is 42588976953617. The reversal of 42588976953600 is 635967988524.

It is a happy number.

42588976953600 is a `hidden beast` number, since 4 + 2 + 5 + 8 + 8 + 9 + 7 + 6 + 9 + 5 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

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, 158323334266 + ... + 158323334534.

It is an arithmetic number, because the mean of its divisors is an integer number (57673912800).

Almost surely, 2^{42588976953600} is an apocalyptic number.

42588976953600 is a gapful number since it is divisible by the number (40) 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 42588976953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99660521318400).

42588976953600 is an abundant number, since it is smaller than the sum of its proper divisors (156732065683200).

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

42588976953600 is a wasteful number, since it uses less digits than its factorization.

42588976953600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 42588976953600 in words is "forty-two trillion, five hundred eighty-eight billion, nine hundred seventy-six million, nine hundred fifty-three thousand, six hundred".