19798574558400 has 1680 divisors, whose sum is σ = 83068685263872. Its totient is φ = 4582324224000.

The previous prime is 19798574558383. The next prime is 19798574558509. The reversal of 19798574558400 is 485547589791.

It is a happy number.

19798574558400 is a `hidden beast` number, since 1 + 9 + 7 + 9 + 8 + 574 + 5 + 5 + 8 + 40 + 0 = 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 239 ways as a sum of consecutive naturals, for example, 2747127597 + ... + 2747134803.

Almost surely, 2^{19798574558400} is an apocalyptic number.

19798574558400 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 19798574558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41534342631936).

19798574558400 is an abundant number, since it is smaller than the sum of its proper divisors (63270110705472).

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

19798574558400 is a wasteful number, since it uses less digits than its factorization.

19798574558400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7340 (or 7316 counting only the distinct ones).

The product of its (nonzero) digits is 508032000, while the sum is 72.

The spelling of 19798574558400 in words is "nineteen trillion, seven hundred ninety-eight billion, five hundred seventy-four million, five hundred fifty-eight thousand, four hundred".