10132611840 has 576 divisors, whose sum is σ = 40794969600. Its totient is φ = 2360918016.

The previous prime is 10132611823. The next prime is 10132611887. The reversal of 10132611840 is 4811623101.

It is a happy number.

10132611840 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 2 + 611 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8535727 + ... + 8536913.

It is an arithmetic number, because the mean of its divisors is an integer number (70824600).

Almost surely, 2^10132611840 is an apocalyptic number.

10132611840 is a gapful number since it is divisible by the number (10) 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 10132611840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20397484800).

10132611840 is an abundant number, since it is smaller than the sum of its proper divisors (30662357760).

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

10132611840 is a wasteful number, since it uses less digits than its factorization.

10132611840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

It can be divided in two parts, 1013261 and 1840, that added together give a palindrome (1015101).

The spelling of 10132611840 in words is "ten billion, one hundred thirty-two million, six hundred eleven thousand, eight hundred forty".