10087921140 has 192 divisors, whose sum is σ = 31600558080. Its totient is φ = 2383580160.

The previous prime is 10087921097. The next prime is 10087921153. The reversal of 10087921140 is 4112978001.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 9708741 + ... + 9709779.

It is an arithmetic number, because the mean of its divisors is an integer number (164586240).

Almost surely, 2^10087921140 is an apocalyptic number.

10087921140 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 10087921140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15800279040).

10087921140 is an abundant number, since it is smaller than the sum of its proper divisors (21512636940).

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

10087921140 is a wasteful number, since it uses less digits than its factorization.

10087921140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The spelling of 10087921140 in words is "ten billion, eighty-seven million, nine hundred twenty-one thousand, one hundred forty".