1984998506400 has 2160 divisors, whose sum is σ = 9549578475360. Its totient is φ = 396613324800.

The previous prime is 1984998506383. The next prime is 1984998506417. The reversal of 1984998506400 is 46058994891.

1984998506400 is a `hidden beast` number, since 1 + 9 + 8 + 499 + 85 + 0 + 64 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1984998506383) and next prime (1984998506417).

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 784273135 + ... + 784275665.

It is an arithmetic number, because the mean of its divisors is an integer number (4421101146).

Almost surely, 2^{1984998506400} is an apocalyptic number.

1984998506400 is a gapful number since it is divisible by the number (10) 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 1984998506400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4774789237680).

1984998506400 is an abundant number, since it is smaller than the sum of its proper divisors (7564579968960).

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

1984998506400 is a wasteful number, since it uses less digits than its factorization.

1984998506400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2609 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 1984998506400 in words is "one trillion, nine hundred eighty-four billion, nine hundred ninety-eight million, five hundred six thousand, four hundred".