10061990400 has 960 divisors, whose sum is σ = 42963250176. Its totient is φ = 2015232000.

The previous prime is 10061990383. The next prime is 10061990459. The reversal of 10061990400 is 409916001.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121228759 + ... + 121228841.

Almost surely, 2^10061990400 is an apocalyptic number.

10061990400 is a gapful number since it is divisible by the number (10) 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 10061990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21481625088).

10061990400 is an abundant number, since it is smaller than the sum of its proper divisors (32901259776).

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

10061990400 is a wasteful number, since it uses less digits than its factorization.

10061990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The spelling of 10061990400 in words is "ten billion, sixty-one million, nine hundred ninety thousand, four hundred".