20657465670000 has 200 divisors, whose sum is σ = 67210145069056. Its totient is φ = 5465281248000.

The previous prime is 20657465669993. The next prime is 20657465670007. The reversal of 20657465670000 is 7656475602.

It is an interprime number because it is at equal distance from previous prime (20657465669993) and next prime (20657465670007).

It is a tau number, because it is divible by the number of its divisors (200).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20657465670007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1099047 + ... + 6520953.

Almost surely, 2^{20657465670000} is an apocalyptic number.

20657465670000 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 20657465670000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33605072534528).

20657465670000 is an abundant number, since it is smaller than the sum of its proper divisors (46552679399056).

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

20657465670000 is a wasteful number, since it uses less digits than its factorization.

20657465670000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5422065 (or 5422044 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 20657465670000 in words is "twenty trillion, six hundred fifty-seven billion, four hundred sixty-five million, six hundred seventy thousand".