84887863945920 has 336 divisors, whose sum is σ = 346049047588608. Its totient is φ = 19402940206080.

The previous prime is 84887863945909. The next prime is 84887863946029. The reversal of 84887863945920 is 2954936878848.

84887863945920 is a `hidden beast` number, since 8 + 4 + 8 + 87 + 8 + 63 + 9 + 459 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 84887863945920.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77431746 + ... + 78520385.

It is an arithmetic number, because the mean of its divisors is an integer number (1029907879728).

Almost surely, 2^{84887863945920} is an apocalyptic number.

84887863945920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84887863945920 is an abundant number, since it is smaller than the sum of its proper divisors (261161183642688).

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

84887863945920 is a wasteful number, since it uses less digits than its factorization.

84887863945920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155952170 (or 155952148 counting only the distinct ones).

The product of its (nonzero) digits is 6688604160, while the sum is 81.

The spelling of 84887863945920 in words is "eighty-four trillion, eight hundred eighty-seven billion, eight hundred sixty-three million, nine hundred forty-five thousand, nine hundred twenty".