20587136540288 has 512 divisors, whose sum is σ = 45835936819200. Its totient is φ = 9181672980480.

The previous prime is 20587136540287. The next prime is 20587136540291. The reversal of 20587136540288 is 88204563178502.

It is a super-2 number, since 2×20587136540288² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (59).

It is not an unprimeable number, because it can be changed into a prime (20587136540287) 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, 51856766906 + ... + 51856767302.

It is an arithmetic number, because the mean of its divisors is an integer number (89523314100).

Almost surely, 2^{20587136540288} 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 20587136540288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22917968409600).

20587136540288 is an abundant number, since it is smaller than the sum of its proper divisors (25248800278912).

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

20587136540288 is a wasteful number, since it uses less digits than its factorization.

20587136540288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 59.

The spelling of 20587136540288 in words is "twenty trillion, five hundred eighty-seven billion, one hundred thirty-six million, five hundred forty thousand, two hundred eighty-eight".