4287850852896 has 768 divisors, whose sum is σ = 14313801600000. Its totient is φ = 1238856892416.

The previous prime is 4287850852889. The next prime is 4287850852949. The reversal of 4287850852896 is 6982580587824.

It is a happy number.

4287850852896 is a `hidden beast` number, since 4 + 2 + 8 + 7 + 8 + 5 + 0 + 8 + 528 + 96 = 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3433026480 + ... + 3433027728.

It is an arithmetic number, because the mean of its divisors is an integer number (18637762500).

Almost surely, 2^{4287850852896} is an apocalyptic number.

4287850852896 is a gapful number since it is divisible by the number (46) 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 4287850852896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7156900800000).

4287850852896 is an abundant number, since it is smaller than the sum of its proper divisors (10025950747104).

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

4287850852896 is a wasteful number, since it uses less digits than its factorization.

4287850852896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 619315200, while the sum is 72.

The spelling of 4287850852896 in words is "four trillion, two hundred eighty-seven billion, eight hundred fifty million, eight hundred fifty-two thousand, eight hundred ninety-six".