20037417120 has 720 divisors, whose sum is σ = 83217546720. Its totient is φ = 4527000576.

The previous prime is 20037417073. The next prime is 20037417133. The reversal of 20037417120 is 2171473002.

It is a happy number.

20037417120 is a `hidden beast` number, since 200 + 37 + 417 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 88270447 + ... + 88270673.

It is an arithmetic number, because the mean of its divisors is an integer number (115579926).

Almost surely, 2^20037417120 is an apocalyptic number.

20037417120 is a gapful number since it is divisible by the number (20) 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 20037417120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41608773360).

20037417120 is an abundant number, since it is smaller than the sum of its proper divisors (63180129600).

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

20037417120 is a wasteful number, since it uses less digits than its factorization.

20037417120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 20037417120 in words is "twenty billion, thirty-seven million, four hundred seventeen thousand, one hundred twenty".