60101885952 has 504 divisors, whose sum is σ = 195981252516. Its totient is φ = 18345885696.

The previous prime is 60101885929. The next prime is 60101885953. The reversal of 60101885952 is 25958810106.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 52027785216 + 8074100736 = 228096^2 + 89856^2 .

It is a super-2 number, since 2×60101885952² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 60101885898 and 60101885907.

It is not an unprimeable number, because it can be changed into a prime (60101885953) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1624375278 + ... + 1624375314.

Almost surely, 2^60101885952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60101885952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97990626258).

60101885952 is an abundant number, since it is smaller than the sum of its proper divisors (135879366564).

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

60101885952 is an frugal number, since it uses more digits than its factorization.

60101885952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 60101885952 in words is "sixty billion, one hundred one million, eight hundred eighty-five thousand, nine hundred fifty-two".