84101554891200 has 2688 divisors, whose sum is σ = 359377999478784. Its totient is φ = 16717529088000.

The previous prime is 84101554891091. The next prime is 84101554891201. The reversal of 84101554891200 is 219845510148.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 84101554891200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84101554891201) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 147288186915 + ... + 147288187485.

Almost surely, 2^{84101554891200} is an apocalyptic number.

84101554891200 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 84101554891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179688999739392).

84101554891200 is an abundant number, since it is smaller than the sum of its proper divisors (275276444587584).

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

84101554891200 is a wasteful number, since it uses less digits than its factorization.

84101554891200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 48.

The spelling of 84101554891200 in words is "eighty-four trillion, one hundred one billion, five hundred fifty-four million, eight hundred ninety-one thousand, two hundred".