10249942500 has 450 divisors, whose sum is σ = 38987899566. Its totient is φ = 2340576000.

The previous prime is 10249942487. The next prime is 10249942511. The reversal of 10249942500 is 524994201.

10249942500 is a `hidden beast` number, since 1 + 0 + 24 + 99 + 42 + 500 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 1390991616 + 8858950884 = 37296^2 + 94122^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is a super-2 number, since 2×10249942500² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 9921984 + ... + 9923016.

Almost surely, 2^10249942500 is an apocalyptic number.

10249942500 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 10249942500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19493949783).

10249942500 is an abundant number, since it is smaller than the sum of its proper divisors (28737957066).

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

10249942500 is a wasteful number, since it uses less digits than its factorization.

10249942500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10249942500 in words is "ten billion, two hundred forty-nine million, nine hundred forty-two thousand, five hundred".