10211600151564 has 48 divisors (see below), whose sum is σ = 28664140780800. Its totient is φ = 2764042145856.

The previous prime is 10211600151563. The next prime is 10211600151617. The reversal of 10211600151564 is 46515100611201.

It is not an unprimeable number, because it can be changed into a prime (10211600151563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3199121259 + ... + 3199124450.

It is an arithmetic number, because the mean of its divisors is an integer number (597169599600).

Almost surely, 2^{10211600151564} is an apocalyptic number.

10211600151564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10211600151564 is an abundant number, since it is smaller than the sum of its proper divisors (18452540629236).

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

10211600151564 is a wasteful number, since it uses less digits than its factorization.

10211600151564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6398245742 (or 6398245740 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

Adding to 10211600151564 its reverse (46515100611201), we get a palindrome (56726700762765).

The spelling of 10211600151564 in words is "ten trillion, two hundred eleven billion, six hundred million, one hundred fifty-one thousand, five hundred sixty-four".