61901107200 has 780 divisors, whose sum is σ = 243337572720. Its totient is φ = 15500574720.

The previous prime is 61901107199. The next prime is 61901107243. The reversal of 61901107200 is 270110916.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 141004581 + ... + 141005019.

Almost surely, 2^61901107200 is an apocalyptic number.

61901107200 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 61901107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121668786360).

61901107200 is an abundant number, since it is smaller than the sum of its proper divisors (181436465520).

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

61901107200 is a wasteful number, since it uses less digits than its factorization.

61901107200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The spelling of 61901107200 in words is "sixty-one billion, nine hundred one million, one hundred seven thousand, two hundred".