10527374737900 has 72 divisors (see below), whose sum is σ = 23048164041840. Its totient is φ = 4173395466240.

The previous prime is 10527374737883. The next prime is 10527374737931. The reversal of 10527374737900 is 973747372501.

It is a super-2 number, since 2×10527374737900² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245606671 + ... + 245649529.

It is an arithmetic number, because the mean of its divisors is an integer number (320113389470).

Almost surely, 2^{10527374737900} is an apocalyptic number.

10527374737900 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 10527374737900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11524082020920).

10527374737900 is an abundant number, since it is smaller than the sum of its proper divisors (12520789303940).

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

10527374737900 is a wasteful number, since it uses less digits than its factorization.

10527374737900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64723 (or 64716 counting only the distinct ones).

The product of its (nonzero) digits is 7779240, while the sum is 55.

The spelling of 10527374737900 in words is "ten trillion, five hundred twenty-seven billion, three hundred seventy-four million, seven hundred thirty-seven thousand, nine hundred".