10087149840 has 80 divisors (see below), whose sum is σ = 31997410368. Its totient is φ = 2627347968.

The previous prime is 10087149833. The next prime is 10087149841. The reversal of 10087149840 is 4894178001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10087149840² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10087149792 and 10087149801.

It is not an unprimeable number, because it can be changed into a prime (10087149841) 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, 478399 + ... + 499038.

Almost surely, 2^10087149840 is an apocalyptic number.

10087149840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10087149840 is an abundant number, since it is smaller than the sum of its proper divisors (21910260528).

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

10087149840 is a wasteful number, since it uses less digits than its factorization.

10087149840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977496 (or 977490 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 10087149840 in words is "ten billion, eighty-seven million, one hundred forty-nine thousand, eight hundred forty".