61249151880 has 576 divisors, whose sum is σ = 240656832000. Its totient is φ = 13216379904.

The previous prime is 61249151861. The next prime is 61249151891. The reversal of 61249151880 is 8815194216.

It is a happy number.

61249151880 is a `hidden beast` number, since 6 + 12 + 49 + 1 + 518 + 80 = 666.

61249151880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 594651909 + ... + 594652011.

It is an arithmetic number, because the mean of its divisors is an integer number (417807000).

Almost surely, 2^61249151880 is an apocalyptic number.

61249151880 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 61249151880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120328416000).

61249151880 is an abundant number, since it is smaller than the sum of its proper divisors (179407680120).

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

61249151880 is a wasteful number, since it uses less digits than its factorization.

61249151880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 61249151880 in words is "sixty-one billion, two hundred forty-nine million, one hundred fifty-one thousand, eight hundred eighty".