61187051520 has 624 divisors, whose sum is σ = 247790200320. Its totient is φ = 13674479616.

The previous prime is 61187051509. The next prime is 61187051539. The reversal of 61187051520 is 2515078116.

61187051520 is a `hidden beast` number, since 6 + 1 + 1 + 87 + 0 + 51 + 520 = 666.

It is a super-2 number, since 2×61187051520² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60640776 + ... + 60641784.

It is an arithmetic number, because the mean of its divisors is an integer number (397099680).

Almost surely, 2^61187051520 is an apocalyptic number.

61187051520 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 61187051520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123895100160).

61187051520 is an abundant number, since it is smaller than the sum of its proper divisors (186603148800).

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

61187051520 is a wasteful number, since it uses less digits than its factorization.

61187051520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The spelling of 61187051520 in words is "sixty-one billion, one hundred eighty-seven million, fifty-one thousand, five hundred twenty".