17972760000 has 560 divisors, whose sum is σ = 65787166368. Its totient is φ = 4300800000.

The previous prime is 17972759999. The next prime is 17972760017. The reversal of 17972760000 is 6727971.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 63959860 + ... + 63960140.

Almost surely, 2^17972760000 is an apocalyptic number.

17972760000 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 17972760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32893583184).

17972760000 is an abundant number, since it is smaller than the sum of its proper divisors (47814406368).

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

17972760000 is a wasteful number, since it uses less digits than its factorization.

17972760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 39.

The spelling of 17972760000 in words is "seventeen billion, nine hundred seventy-two million, seven hundred sixty thousand".