20149977427776 has 448 divisors, whose sum is σ = 68875311697920. Its totient is φ = 5657340672000.

The previous prime is 20149977427771. The next prime is 20149977427781. The reversal of 20149977427776 is 67772477994102.

20149977427776 is a `hidden beast` number, since 2 + 0 + 1 + 49 + 97 + 7 + 427 + 7 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (20149977427771) and next prime (20149977427781).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20149977427771) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 804988381 + ... + 805013411.

It is an arithmetic number, because the mean of its divisors is an integer number (153739535040).

Almost surely, 2^{20149977427776} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20149977427776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34437655848960).

20149977427776 is an abundant number, since it is smaller than the sum of its proper divisors (48725334270144).

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

20149977427776 is a wasteful number, since it uses less digits than its factorization.

20149977427776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26211 (or 26195 counting only the distinct ones).

The product of its (nonzero) digits is 522764928, while the sum is 72.

The spelling of 20149977427776 in words is "twenty trillion, one hundred forty-nine billion, nine hundred seventy-seven million, four hundred twenty-seven thousand, seven hundred seventy-six".