1988472528000 has 1536 divisors, whose sum is σ = 8419866624000. Its totient is φ = 449506713600.

The previous prime is 1988472527999. The next prime is 1988472528001. The reversal of 1988472528000 is 8252748891.

1988472528000 is a `hidden beast` number, since 1 + 98 + 8 + 472 + 5 + 2 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1988472527999) and next prime (1988472528001).

It is a super-2 number, since 2×1988472528000² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1988472528001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6272783842 + ... + 6272784158.

It is an arithmetic number, because the mean of its divisors is an integer number (5481684000).

Almost surely, 2^{1988472528000} is an apocalyptic number.

1988472528000 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 1988472528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4209933312000).

1988472528000 is an abundant number, since it is smaller than the sum of its proper divisors (6431394096000).

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

1988472528000 is a wasteful number, since it uses less digits than its factorization.

1988472528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 1988472528000 in words is "one trillion, nine hundred eighty-eight billion, four hundred seventy-two million, five hundred twenty-eight thousand".