42887764902528 has 768 divisors, whose sum is σ = 157091003596800. Its totient is φ = 10930167226368.

The previous prime is 42887764902527. The next prime is 42887764902599. The reversal of 42887764902528 is 82520946778824.

42887764902528 is a `hidden beast` number, since 4 + 2 + 8 + 8 + 7 + 7 + 6 + 4 + 90 + 2 + 528 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (42887764902527) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 389186125 + ... + 389296307.

It is an arithmetic number, because the mean of its divisors is an integer number (204545577600).

Almost surely, 2^{42887764902528} is an apocalyptic number.

42887764902528 is a gapful number since it is divisible by the number (48) 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 42887764902528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78545501798400).

42887764902528 is an abundant number, since it is smaller than the sum of its proper divisors (114203238694272).

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

42887764902528 is a wasteful number, since it uses less digits than its factorization.

42887764902528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110349 (or 110334 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 72.

The spelling of 42887764902528 in words is "forty-two trillion, eight hundred eighty-seven billion, seven hundred sixty-four million, nine hundred two thousand, five hundred twenty-eight".