60909500120400 has 360 divisors, whose sum is σ = 216321792319776. Its totient is φ = 15862360550400.

The previous prime is 60909500120393. The next prime is 60909500120423. The reversal of 60909500120400 is 402100590906.

60909500120400 is a `hidden beast` number, since 6 + 0 + 90 + 9 + 500 + 1 + 20 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×60909500120400² (a number of 28 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 71 ways as a sum of consecutive naturals, for example, 1147196254 + ... + 1147249346.

Almost surely, 2^{60909500120400} is an apocalyptic number.

60909500120400 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 60909500120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108160896159888).

60909500120400 is an abundant number, since it is smaller than the sum of its proper divisors (155412292199376).

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

60909500120400 is a wasteful number, since it uses less digits than its factorization.

60909500120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60571 (or 60557 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 60909500120400 in words is "sixty trillion, nine hundred nine billion, five hundred million, one hundred twenty thousand, four hundred".