10501540000 has 120 divisors (see below), whose sum is σ = 29526523488. Its totient is φ = 3600480000.

The previous prime is 10501539953. The next prime is 10501540019. The reversal of 10501540000 is 4510501.

It is a happy number.

It is a super-2 number, since 2×10501540000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102495 + ... + 177505.

Almost surely, 2^10501540000 is an apocalyptic number.

10501540000 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 10501540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14763261744).

10501540000 is an abundant number, since it is smaller than the sum of its proper divisors (19024983488).

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

10501540000 is an frugal number, since it uses more digits than its factorization.

10501540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75048 (or 75025 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The spelling of 10501540000 in words is "ten billion, five hundred one million, five hundred forty thousand".