10087602000 has 320 divisors, whose sum is σ = 37320611328. Its totient is φ = 2296320000.

The previous prime is 10087601983. The next prime is 10087602029. The reversal of 10087602000 is 20678001.

It is a super-2 number, since 2×10087602000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 19361740 + ... + 19362260.

Almost surely, 2^10087602000 is an apocalyptic number.

10087602000 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 10087602000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18660305664).

10087602000 is an abundant number, since it is smaller than the sum of its proper divisors (27233009328).

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

10087602000 is a wasteful number, since it uses less digits than its factorization.

10087602000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The spelling of 10087602000 in words is "ten billion, eighty-seven million, six hundred two thousand".