20167905860640 has 192 divisors, whose sum is σ = 70738828917120. Its totient is φ = 5366591400960.

The previous prime is 20167905860621. The next prime is 20167905860651. The reversal of 20167905860640 is 4606850976102.

20167905860640 is a `hidden beast` number, since 2 + 0 + 16 + 7 + 9 + 0 + 586 + 0 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2980951 + ... + 7015830.

It is an arithmetic number, because the mean of its divisors is an integer number (368431400610).

Almost surely, 2^{20167905860640} is an apocalyptic number.

20167905860640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20167905860640 is an abundant number, since it is smaller than the sum of its proper divisors (50570923056480).

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

20167905860640 is a wasteful number, since it uses less digits than its factorization.

20167905860640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9997272 (or 9997258 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 20167905860640 in words is "twenty trillion, one hundred sixty-seven billion, nine hundred five million, eight hundred sixty thousand, six hundred forty".