10187389632 has 224 divisors, whose sum is σ = 33184088064. Its totient is φ = 2694067200.

The previous prime is 10187389577. The next prime is 10187389669. The reversal of 10187389632 is 23698378101.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 952957 + ... + 963587.

Almost surely, 2^10187389632 is an apocalyptic number.

10187389632 is a gapful number since it is divisible by the number (12) 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 10187389632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16592044032).

10187389632 is an abundant number, since it is smaller than the sum of its proper divisors (22996698432).

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

10187389632 is a wasteful number, since it uses less digits than its factorization.

10187389632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10707 (or 10697 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 10187389632 in words is "ten billion, one hundred eighty-seven million, three hundred eighty-nine thousand, six hundred thirty-two".