61101013992480 has 960 divisors, whose sum is σ = 280533456580608. Its totient is φ = 12144296355840.

The previous prime is 61101013992463. The next prime is 61101013992559. The reversal of 61101013992480 is 8429931010116.

61101013992480 is a `hidden beast` number, since 6 + 1 + 1 + 0 + 10 + 1 + 399 + 248 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 21621109 + ... + 24283211.

Almost surely, 2^{61101013992480} is an apocalyptic number.

61101013992480 is a gapful number since it is divisible by the number (60) 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 61101013992480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140266728290304).

61101013992480 is an abundant number, since it is smaller than the sum of its proper divisors (219432442588128).

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

61101013992480 is a wasteful number, since it uses less digits than its factorization.

61101013992480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2662171 (or 2662154 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 61101013992480 in words is "sixty-one trillion, one hundred one billion, thirteen million, nine hundred ninety-two thousand, four hundred eighty".